In the diagram above, suppose m*ANGLE*6=115°. Explain how to find the measures of each of the other seven
numbered angles.
(please check aswell)

see the explanation

Step-by-step explanation:

step 1

Find the measure of angle 2

we know that

-----> by corresponding angles

so

step 2

Find the measure of angle 3

we know that

-----> by vertical angles

so

step 3

Find the measure of angle 7

we know that

-----> by vertical angles

so

step 4

Find the measure of angle 4

we know that

-----> by consecutive interior angles (supplementary angles)

so

step 5

Find the measure of angle 1

we know that

-----> by vertical angles

so

step 6

Find the measure of angle 5

we know that

-----> by alternate interior angles

so

step 6

Find the measure of angle 8

we know that

-----> by vertical angles

so

the answer for this question is 38