Question

Find the measure answer for (b) open image

Answer 1

y = 27°

Explanation:

3y + 53 = 7y - 55

53 + 55 = 7y - 3y

4y = 108

y = 108 : 4

y = 27°

3(27) + 53 = 81 + 53 = 134°

Answer 2

134 degrees

Explanation:

well, you know that the two given angles are congruent because of alternate exterior congruence. this means you can set them equal to each other:

3y + 53 = 7y - 55

then you want to solve. add 55 to both sides: 3y + 108 = 7y.

then subtract 3y from both sides. 108 = 4y

then divide both sides by 4 because you want y by itself. y = 27. now that you have found y, you can fill it in for the indicated angle. so, 3(27) + 53

so then you simplify it and you get: 81 + 53, which is 134, so your answer is that the indicated angle =134 degrees.