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
wolverine [178]
3 years ago
6

Given m<6=142 find the measure of each missing angle,give your reasoning

Mathematics
1 answer:
Elan Coil [88]3 years ago
8 0

Answer/Step-by-step explanation:

a. m<1 and m<6 are vertical angles, hence they are congruent.

Therefore, m<1 = m<6 = 142°

b. <2 and <6 form a linear pair.

Therefore, m<2 + m<6 = 180°

m<2 = 180° - 142° = 38°

c. <2 and <3 are interior angles of the same side of the transversal line, thus, they are supplementary.

Therefore:

m<2 + m<3 = 180°

m<3 = 180° - 38° = 142°

d. m<4 = m<2 = 38° (corresponding angles lying on the same side of the transversal line are equal)

e. m<5 = m<2 = 38° (vertical angles are equal)

f. m<7 = m<4 = 38° (vertical angles are equal)

g. m<8 = m<3 = 142° (vertical angles are equal)

You might be interested in
Which statement must be true? Two triangles placed side by side. Two sides each of the triangles are equal in length. The third
sladkih [1.3K]

It is impossible to determine the relationship between x and y from the question about the triangle. Hence,  the correct option is D. This is because none of the sides are labelled x or y from the information provided.

<h3>What are the relationships that exist between the sides of a triangle?</h3>

It is important to note that:

The side with the highest length is the side that is opposite the biggest angle.

It is also important to note that the angle that is least will always be opposite the side that is smallest.

Learn more about triangles at:
brainly.com/question/17335144
#SPJ1

7 0
2 years ago
One month Ashley rented 2 movies and 5 video games for a total of $33. The next month she rented 8 movies and 3 video games for
Ray Of Light [21]

To answer this question, you should set up and equation before doing anything else. So for this question you 're going to set up two equations.

The first equation is 2x+5y=33

The second equation is 8x+3y=30

Once you do that you have to solve for either X or Y by canceling out the other one. In this problem figuring out the Y is easier because you can cancel the X's more easily than the Y. To cancel a variable, they have to add up to 0.

So to cancel the X you multiply the equation 2x+5y=33 by -4.

That gives you -8x-20y= -132

Then you set up the two equations and add them together.

(-8x-20y= -132) + (8x+3y=30)

That gives you -17y = -102

So then you solve for Y by dividing by -17. You find out that Y is equal to 6. Then you plug the 6 back into the ORIGINAL equations and solve for X, which turns out to be 1.5

Hope this helped and if you get confused or have questions please ask :)

6 0
3 years ago
PLZ HELP!! 50 POINTS!
yKpoI14uk [10]

x = 3

Step-by-step explanation:

5x = 3x + 6

5x - 3x = 6

2x = 6

x = 6/2

x = 3

6 0
3 years ago
Read 2 more answers
In his
4vir4ik [10]
The plant is 4 and 1/4 inches above ground
(34/4)-(17/4)=17/4
7 0
3 years ago
Andy’s goal for the week is to run 19 miles. he ran 6.19 miles between monday and friday. he ran 3.1 miles on saturday. how many
tatiyna

Answer:

9.71 miles

Step-by-step explanation:

total miles he ran = 6.19 + 3.1 = 9.29

Target = 19 miles

Goal for sunday = 19 - 9.29 = 9.71

5 0
3 years ago
Other questions:
  • What is the equation, in slope-intercept form, of the line that passes through (0, −2) and has a slope of −3?
    15·2 answers
  • Please tell correct answers
    5·1 answer
  • If sin(x) = 0.28, what is cos(90° - x)
    15·1 answer
  • The Great Pyramid of Giza is a square pyramid located by El Giza, Egypt. The height of the pyramid is currently 455 feet. The ba
    6·2 answers
  • Using 4 equal-width intervals, show that the trapezoidal rule is the average of the upper and lower sum estimates for the integr
    5·1 answer
  • What is the length of the rectangle if the perimeter is 102 cm?
    7·2 answers
  • Heng was trying to factor 10x² + 5x. She found that the greatest common factor of these terms was 5%
    13·1 answer
  • Whch stuction represents a proportional relationshp?
    15·2 answers
  • Help please is for now
    7·1 answer
  • Yeah help me okay thanks
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!