Question

If MATH is an isosceles trapezoid and the m∠A = 60°, what is the m∠H?

Answer 1

Answer: C, 120°

Explanation:

If MATH is an isosceles Trapezoid, and the measurement of Angle A is 60°, then the Measurement of Angle M would be equivalent to the Measurement of Angle A. Then, using the Same Side Interior Theorem, the Measurement of Angle H would be equal to 180°- 60° (The Measurement of Angle M), which is equal to 120°, C.

Answer 2

C 120°

Explanation:

In an isosceles trapezoid, base angles are congruent.

`\therefore m \angle A = m\angle M= 60°..(1)\\</p><p>\&\: m \angle T = m\angle H..(2)\\</p><p>m\angle M +m\angle A + m\angle T +m\angle H= 360°\\</p><p>\therefore 60° + 60° +m\angle H +m\angle H= 360°\\</p><p>[From\: equations\: (1)\: \& \:(2)] \\</p><p>\therefore 120° +2m \angle H = 360°\\</p><p>\therefore 2m \angle H = 360°-120°\\</p><p>\therefore 2m \angle H = 240°\\</p><p>\therefore m \angle H = \frac{240°} {2} \\</p><p>\huge\purple {\boxed {\therefore m \angle H = 120°}}`