Question

Use the figure to find the measure of the angle

1.<4
2.<5
3.<3
4.<8

Answer 1

see explanation

Explanation:

(1)

∠ 4 and 53° are a linear pair and sum to 180° , that is

∠ 4 + 53° = 180° ( subtract 53° from both sides )

∠ 4 = 127°

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(2)

∠ 5 and ∠ 4 are alternate angles and are congruent (equal ) , then

∠ 5 = ∠ 4 = 127°

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(3)

∠ 3 and 53° are vertically opposite angles and are congruent , then

∠ 3 = 53°

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(4)

∠ 8 and ∠ 5 are vertically opposite angles and are congruent , so

∠ 8 = ∠ 5 = 127°

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