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In AFGH, FG – HF and mZF = 56°. Find m_H.

In AFGH, FG – HF and mZF = 56°. Find m_H.-example-1
User Uvtc
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1 Answer

7 votes

Answer:

m<H = 62°

Explanation:

If FG is congruent to HF, it means their opposite angles are also congruent to each other. This implies that, <H = <G. Thus, ∆FGH is an isosceles triangle with base angles <F and <G.

Given that m<F = 56°, therefore:

56° + 2(m<H) = 180° (sum of triangle)

2(m<H) = 180° - 56°

2(m<H) = 124°

m<H = 124/2

m<H = 62°

User Hgbnerd
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