Question

The Isosceles Trapezoid is part of an Isosceles triange with a 32° vertex angle. What is the measure of an acute base angle of the trapezoid?​

Answer 1

`b = 74^o` --- acute base

Explanation:

Given

See attachment for the figure

Required

The acute base angle of the trapezoid

From the question, the isosceles triangle and the trapezoid share the same base.

Represent the base angle with b.

So:

`b + b + 32^o = 180^o` --- angles in a triangle

`2b = 180^o-32^o`

`2b = 148^o`

Divide by 2

`b = 74^o`