Question

WILL GIVE BRAINLIEST AND HEART!!!

Answer 1

Answer:

x = 59, y = 59, z = 62

Step-by-step explanation:

This is an isosceles triangle, therefore, the angles that are across from the congruent sides are also congruent:  x = y

We also know that by the Triangle Angle Sum Theorem, that all the angles of the triangle add up to equal 180 degrees.

Therefore, x + y + z = 180 and, subbing in our expressions gives us

2x + 31 + 2x + 31 + 5x - 8 = 180 and

9x + 54 = 180 so

9x = 126 and

x = 14

That means that x and y have measures of

2(14) + 31 = 59

If those are 59 each, then

z = 180 - 59 - 59 so

z = 62

Let's check and make sure that sum is in fact 180:

59 + 59 + 62 = 180