PSAT Math Grid-Ins Question 125: Answer and Explanation

Question: 125

In the isosceles trapezoid above, what is the measure of the smallest interior angle?

Correct Answer: 75

Explanation:

75 Isosceles trapezoids have two sets of congruent angles, and their interior angles add up to 360°. Therefore, we know:
360 = 105 + 105 + x + x
Combine like terms:
360 = 210 + 2x
Subtract 210 from both sides:
150 = 2x
Dividing by 2 tells you that x = 75. Therefore, the smallest interior angle is 75°.

All content of site and practice tests © 2022 Jack.
Quick View

PSAT Practice Tests

More Information