Question

by the definition of supplementary angles, the base angles of the top isosceles triangle have the measure of

Answer 1

128

Explanation:

Top Triangle

Let the base angles of the top triangle = y

y + 102 = 180

y = 78

The vertex

Is found by adding the two base angles together and subtract that from 180

y + y + vertex = 180

78 + 78 + vertex = 180

156 + vertex = 180

vertex = 180 - 156

vertex = 24 degrees

Bottom Triangle

Because the base angles are connected by a vertically opposite angle on the bottom triangle, both base angles are 26

Therefore 26 + 26 + x = 180

52 + x = 180

x = 180 - 52

x = 128