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
Aleonysh [2.5K]
2 years ago
11

We have seen that isosceles triangles have two sides of equal length. The angles opposite these sides have the same measure. Use

the information to the right to help find the measure of angles 1 through 5.

Mathematics
1 answer:
Naddik [55]2 years ago
6 0

Question has missing figure, the figure is in the attachment.

Answer:

The measure of ∠1 is 65°.

The measure of ∠2 is 65°.

The measure of ∠3 is 50°.

The measure of ∠4 is 115°.

The measure of ∠5 is 65°.

Step-by-step explanation:

Given,

We have an isosceles triangle which we can named it as ΔABC.

In which Length of AB is equal to length of BC.

And also m∠B is equal to m∠C.

ext.m∠C= 115°(Here ext. stands for exterior)

We have to find the measure of angles angles 1 through 5.

Solution,

For ∠1.

∠1 and ext.∠C makes straight angle, and we know that the measure of straight angle is 180°.

So, we can frame this in equation form as;

\angle1+ext.\angle C=180\°

On putting the values, we get;

\angle 1+115\°=180\°\\\\\angle1=180\[tex]\therefore m\angle2=65\°-115\°=65\°[/tex]

Thus the measure of ∠1 is 65°.

For ∠2.

Since the given triangle is an isosceles triangle.

So, m\angle1=m\angle2

Thus the measure of ∠2 is 65°.

For ∠3.

Here ∠1, ∠2 and ∠3 are the three angles of the triangle.

So we use the angle sum property of triangle, which states that;

"The sum of all the angles of a triangle is equal to 180°".

\therefore \angle1+\angle2+\angle3=180\°

Now we put the values and get;

65\°+65\°+\angle3=180\°\\\\130\°+\angle3=180\°\\\\\angle3=180\°-130\°=50\°

Thus the measure of ∠3 is 50°.

For ∠4.

∠4 and ∠2 makes straight angle, and we know that the measure of straight angle is 180°.

So, we can frame this in equation form as;

\angle2 +\angle 4 =180\°

Substituting the values of of angle 2 to find angle 4 we get;

65\°+ \angle 4 = 180\°\\\\ \angle 4 = 180\°-65\°\\\\\angle 4= 115\°

Thus the measure of ∠4 is 115°.

For ∠5.

∠4 and ∠5 makes straight angle, and we know that the measure of straight angle is 180°.

So, we can frame this in equation form as;

\angle4 +\angle 5 =180\°

Substituting the values of of angle 4 to find angle 5 we get;

115\°+ \angle 5 = 180\°\\\\ \angle 5 = 180\°-115\°\\\\\angle 5= 65\°

Thus the measure of ∠5 is 65°.

Hence:

The measure of ∠1 is 65°.

The measure of ∠2 is 65°.

The measure of ∠3 is 50°.

The measure of ∠4 is 115°.

The measure of ∠5 is 65°.

You might be interested in
Screenshoted question below
kumpel [21]

Answer:

y=x+4

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What is the benefit of using statistical sampling versus nonstatistical sampling?
taurus [48]
<span>Statistical sampling: Uses laws of probability for selection and evaluation of a sample. Allows for quantification of audit risk and sufficiency of audit evidence. Nonstatistical sampling: Does not utilize statistical models in calcualtions. Uses a non-mathematical approach to determine sample sizes and evaluate the selected samples.</span>
4 0
3 years ago
5. A history lecture hall class has 15 students. There is a 15% absentee rate per class meeting.
Tasya [4]

Answer:

I think the answer is A

Sorry if i am wrong

Step-by-step explanation:

5 0
3 years ago
A data set is shown below. { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 } Which of the following best represents a measure of ce
Afina-wow [57]

Answer:

51

Step-by-step explanation:

6 0
2 years ago
In a rectangle ABCD, A and B are the points (4,2) and (2,8) respectively l. Given that the equation of AC is y=x-2. Find the equ
Nastasia [14]
Hello,

A=(4,2)
B=(2,8)

(AB)≡y-2=(x-4)*(8-2)/(2-4) ==> y=-3x+14
(BC)≡y-8=(x-2)*1/3 ==> y=1/3 x+22/3



4 0
2 years ago
Other questions:
  • What is x if [-1 -2 4 8] + X =[-5 -1 2 1]
    11·1 answer
  • Help with numbers 3 and 5
    5·1 answer
  • Rewrite the following equation in slope intercept 7x + 11y = 10
    5·2 answers
  • answer fast I will reward 50 points [] are the exponents Use the given information to complete parts I and II. In your final ans
    10·2 answers
  • The school that Jacob goes to is selling tickets to a play. On the first day of ticket sales the
    10·1 answer
  • David worked in the library on Friday and Saturday he worked a total of 7 3/4 hours during these two days if he worked 4 1/4 Hou
    7·1 answer
  • I need the answer <br><br> Ushshsbshfhd
    15·2 answers
  • A two digit number is such that, the sum of its digit is 13.When the digits are interchange, the original number is increased by
    11·1 answer
  • The ratio of the numbers of Ann's picture cards to the number of Wendy's
    7·1 answer
  • Pls help me with my math
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!