Question

What are the measures of the angles in trapezoid GFHE?

Answer 1

Explanation:

As trapezoid ABCD ~ trapezoid GFHE

angle A=angle G = 35*
angle B= angle F

angle C= angle H = 109*

angle D= angle E= 83*

angle A+angleB + angle C +angle D = 360* ( angle sum property )

35* + angle B + 109* + 83* = 360*

angle B = 133* = angle F (similarity)

Answer 2

m<G = 35°

m<H = 109°

m<E = 83°

m<F = 133°

Explanation:

m<G = m<A = 35°

m<H = m<C = 109°

m<E = m<D = 83°

The sum of the measures of the angles of an n-sided polygon is

(n - 2)180°

Polygon GFHE has 4 sides.

(4 - 2)180° = 360°

m<F = 360° - 35° - 109° - 83°

m<F = 133°