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 degreesc) 46 degrees d) 113 degrees

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.