Question

What are the measures of the other angles if angle one equals 72° 

Answer 1

see explanation

Explanation:

∠ 1 and ∠ 2 are a linear pair and sum to 180°

∠ 1 + ∠ 2 = 180°

72° + ∠ 2 = 180° ( subtract 72° from both sides )

∠ 2 = 108°

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∠ 1 and ∠ 3 are corresponding angles and are congruent , then

∠ 3 = ∠ 1 = 72°

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∠ 2 and ∠ 4 are corresponding angles and are congruent , then

∠ 4 = ∠ 2 = 108°

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∠ 2 and ∠ 5 are vertically opposite angles and are congruent , then

∠ 5 = ∠ 2 = 108°

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∠ 1 and ∠ 6 are vertically opposite angles and are congruent, then

∠ 6 = ∠ 1 = 72°

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∠ 4 and ∠ 7 are vertically opposite angles and are congruent , then

∠ 7 = ∠ 4 = 108°

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∠ 3 and ∠ 8 are vertically opposite angles and are congruent, then

∠ 8 = ∠ 3 = 72°