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3 years ago

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

Mathematics

1 answer:

nevsk [136]3 years ago

7 0

Answer:

m<H = 62°

Step-by-step 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°

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Answer:

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Step-by-step explanation:

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