1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vaselesa [24]
3 years ago
14

Plz help me with this it is very important

Mathematics
1 answer:
Doss [256]3 years ago
7 0

Part Wise Solution:

Find the measure of each angle indicated.

<em>Part 1)</em>

As the measure of three angles in a triangle is 180°. Angle 65° and 57° are given.

Lets suppose the indicated unknown angle is x. So,

                                   65° + 57° + x = 180°

                                                    x = 180° - 57° - 65°

                                                     x = 58°

So, the indicated unknown angle in part 1) is x = 58°.

<em>Part 2)</em>

Since, it is a right angle triangle. Hence, its one angle would be 90°. Angle 40° is given.

As the measure of three angles in a triangle is 180. Lets suppose the indicated unknown angle is x. So,

                                   90° + 40° + x = 180°

                                                    x = 180° - 90° - 40°

                                                     x = 50°

So, the indicated unknown angle in part 2) is x = 50°

<em>Part 3)</em>

As the measure of three angles in a triangle is 180. Angle 20° and 130° are given.

Lets suppose the indicated unknown angle is x. So,

                                   20° + 130° + x = 180°

                                                    x = 180° - 130° - 20°

                                                     x = 30°

So, the indicated unknown angle in part 3) is x = 30°

<em>Part 4)</em>

As the measure of three angles in a triangle is 180°. Angle 85° and 50° are given.

Lets suppose the indicated unknown angle is x. So,

                                   85° + 50° + x = 180°

                                                    x = 180° - 85° - 50°

                                                     x = 45°

So, the indicated unknown angle in part 4) is x = 45°.

<em>Part 5)</em>

<em>As the angle 102 </em>° is given. <em>137 </em>° is the exterior angle. Let suppose the angle adjacent to exterior angle <em>137 </em>° is named "a". Since, an exterior angle angle is supplementary to its adjacent angle. So, 1<em>37 </em>° is supplementary to 43°. So, angle "a" = 43°.

So, <em>angle 102 </em>° is given and 43° is obtained. Again, as the measure of three angles in a triangle is 180. So, third angle, let suppose named "b", in triangle would be 25°.

As 102<em> </em>° + 43° + 35° = 180°

<em>Lets suppose the unknown indicated exterior angle which is to be determined is x.</em>

Since angle b = 35° is adjacent to unknown exterior angle "x". As unknown exterior angle "x" is supplementary to its adjacent angle b = 35°. So, 35° would be supplementary to 145°. Hence, the unknown exterior angle x is 145°.

<em>Part 6)</em>

<em>As the angle 100 </em>° is given. 35<em> </em>° is the outside vertical angle. As outside vertical angle is equal to inside vertical angle. Let suppose the inside vertical angle is named "a".  So, angle "a" = 35°.

So, <em>angle 100 </em>° is given and 35° is obtained. Again, as the measure of three angles in a triangle is 180. So, third angle, let suppose named "b", in triangle would be 45°.

As 100<em> </em>° + 35° + 45° = 180°

<em>Lets suppose the unknown indicated exterior angle which is to be determined is x.</em>

Since angle b = 45° is adjacent to unknown exterior angle "x". As unknown exterior angle "x" is supplementary to its adjacent angle b = 45°. So, 45° would be supplementary to 135°. Hence, the unknown exterior angle x is 135°.

<em>Part 7)</em>

Angle 30° and 20° are given.<em> S</em>o, the third angle, lets supposed named "a" inside the triangle would be 130° as the measure of three angles in a triangle is 180°.

<em>Lets suppose the unknown indicated outside vertical angle which is to be determined is x.</em>

As the angle "a" = 130° is inside vertical. So, it would be equal to outside vertical which is "x". Hence, x = 130°

<em>Part 8)</em>

As 60° is given interior angle. As we know that the the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. Let Since, 155° is the sum of two non-adjacent interior angles. One interior angle is 60°. Let suppose the other is "a".

So,                                    

                                  155° = 60° + a⇒ a = 95°

As the measure of three angles in a triangle is 180°. So, the third interior angle, let suppose named "b" would be 25°. As  60° + 95° + 25° = 180°.

<em>Lets suppose the unknown indicated exterior angle which is to be determined is x.</em>

As we know that the the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. So, the sides with angle 60° and angle "b" = 25°.

So,  x = 60° + 25° = 85°.

Keywords: sum of triangle angles, exterior angle, interior angle

Learn about angle measurement from brainly.com/question/12275907

#learnwithBrainly

You might be interested in
I dont know!!!!!!!!!!!!!!!!!!!!!!!
djyliett [7]

Answer:

9in2

Step-by-step explanation:

the 2 is an expononent.

3 0
3 years ago
Write the slope-intercept form of the equation of the line through thr given point with the given slope.
dimaraw [331]

\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad \qquad \qquad  slope =  m\implies -\cfrac{1}{3} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-0=-\cfrac{1}{3}[x-(-4)] \\\\\\ y=-\cfrac{1}{3}(x+4)\implies y=-\cfrac{1}{3}x-\cfrac{4}{3}

8 0
3 years ago
What is the solution to this equation x - 13 =-4
Lelu [443]

Answer:

X=9

Step-by-step explanation:

x=-4+13=9

3 0
3 years ago
Read 2 more answers
Please help!
blagie [28]
Given the two options above, in order to come up with the best plan we have to calculate the future value of money in each plan.
compound interest is given by:FV=p(1+ \frac{r}{100})^n

Option 1
p=$500
r=2%=0.02
t=1 year
FV=500(1+0.02)^1=$510

Option 2
p=$500
r=2/12=1/6
n=1*12=12
hence:
FV=500(1+\frac{ \frac{1}{6}}{100})^{12}&#10;
=$509.09
Comparing the two plans above, option 1 is the best.

b] Option 1 is the best because she will secure $510 as compared to option 2 which has interest rate that reduces her amount by $1 after one year due to annual charges. The total amount of money she will have at the end of the plan is $510. 


8 0
3 years ago
Are the triangles congruent ? if they are state how they are congruent .
Sindrei [870]

Answer:

Step-by-step explanation:

<u><em>Not congruent</em></u>

Better to say that there is not enough information to say, "Triangles are congruent"

8 0
3 years ago
Other questions:
  • Express (3x-4)(x+7)-1/4x squared as a trinomial in standard form
    7·1 answer
  • 30 ft
    14·2 answers
  • Is anyone taking saxon Advanced mathematics?
    15·1 answer
  • For which value of c is the line y=3x+c a tangent to the parabola with equation y=x2-5x+7
    12·1 answer
  • A taxi cab in myrtle beach charges $2 per mile and $1 for every person. If a taxi cab ride for two people costs $12, how far did
    12·1 answer
  • A bag contains 42 red marbles, 6 white marbles, and 8 gray marbles. You randomly pick out a marble, record its color, and put it
    13·2 answers
  • Translate the sentence into an inequality.
    11·1 answer
  • The points A(4, 0) and B(3, 7) are two vertices of right triangle ABC . The hypotenuse of the triangle is AB¯¯¯¯¯ . Point C is o
    8·1 answer
  • Chet stopped in the ski lodge and spent $4.95 on Tums and a cup of
    13·1 answer
  • Which statement best describes the area of Triangle ABC shown below? A triangle ABC is shown on a grid. The vertex A is on order
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!