Question
Quadrilateral EFGH is an isosceles trapezoid with bases EH and FG. The measure of angle HGF is (7y + 6)°, and the measure of angle EFG is (8y + 4)°. What is the measure of angle HGF?
Trapezoid E F G H is drawn with parallel bases E H and F G.
20°
28°
90°
160°
Trapezoid E F G H is drawn with parallel bases E H and F G.
20°
28°
90°
160°
Answers
Answered by
GPT-5 mini
In an isosceles trapezoid the base angles are congruent, so ∠HGF = ∠EFG. Set 7y + 6 = 8y + 4 → y = 2. Then ∠HGF = 7(2) + 6 = 20°. Answer: 20°.
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