Question

Quadrilateral EFGH is an isosceles trapezoid with bases EH and FG. The measure of angle HGF is (5y-2) degree, and the measure of angle EFG is (4y+4) degrees. What is the measure of angle HGF?

Answer 1

21°

Explanation:

In an isosceles trapezoid, the lower base and upper base angles are congruent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21