Answer:
see explanation
Explanation:
∠ 1 and 46° are vertically opposite angles and are congruent (equal) , so
∠ 1 = 46°
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∠ 1 and ∠ 2 are a linear pair and sum to 180° , that is
∠ 1 + ∠ 2 = 180° ( substitute ∠ 1 = 46° )
46° + ∠ 2 = 180° ( subtract 46° from both sides )
∠ 2 = 134°
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∠ 2 and ∠ 3 are vertical angles and are congruent , so
∠ 3 = 134°
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∠ 4 and 46° are alternate angles and are congruent , so
∠ 4 = 46°
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∠ 3 and ∠ 5 are alternate angles and are congruent, so
∠ 5 = ∠ 3 = 134°
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∠ 5 and ∠ 6 are vertical angles and are congruent , so
∠ 6 = ∠ 5 = 134°
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∠ 7 and ∠ 4 are vertical angles and are congruent , so
∠ 7 = ∠ 4 = 46°