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In trapezoid EFGH, m∠GFE=63∘. Identify m∠GHE. HELP PLEASE!

In trapezoid EFGH, m∠GFE=63∘. Identify m∠GHE. HELP PLEASE!-example-1

2 Answers

5 votes

Answer:

m <GHE = 117°

Explanation:

<GHE + ∠GFE = 180°

so

<GHE = 180° - ∠GFE

<GHE = 180° - 63°

<GHE = 117°

User JVGD
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5.1k points
2 votes

Answer:

m∠GHE = 117°

Explanation:

In the case of an equilateral trapezoid, the angles on the bases (parallel sides) are the same (congruent):

m∠GFE ≅ m∠HEF = 63° and m∠FGH ≅ m∠GHE = ?

Angles m∠FGH and m∠GFE are supplemental (comparative) angles and their sum is 180°

m∠FGH + m∠GFE = 180° => m∠FGH = 180° - m∠GFE = 180° - 63° = 117°

m∠FGH = 117°

As we know that:

m∠FGH ≅ m∠GHE = 117°

m∠GHE = 117°

God with you!!!

User Aracelli
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5.3k points