Digital PSAT Math Practice Question 222: Answer and Explanation

Question: 222

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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, you know that

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°.

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