Question

the isosceles trapezoid is part of an isosceles triangle with a 46 degree vertex angle. What is the measure of an acute base angles of the trapezoid?

A) 134 degrees

B) 67 degrees

C) 46 degrees

D) 113 degrees

Answer 1

You would find this as the only thing present was the isosceles triangle.

A + 2B = 180
A = 46
46 + 2B = 180
2B = 134

Now here's the tricky part. Just what are you being asked for? If it is both of the acute angles then the answer is 134°

If it is just one of them then the answer is 134/2 = 67°
I would take 67 because of the an. But what you have written is plural,which would make the answer 134.

Answer 2

The measure of an acute base is 67.

What is isosceles trapezoid?

A  trapezoid with its two nonparallel sides equal.

Given:

angle = 46

consider

<A + <B+ <C = 180

<A + 2 <B= 180

A = 46

46 + 2B = 180

2B = 134

B= 67.

Hence, the measure of acute angle is 67.

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