Question

16) In the given picture, line / is parallel to line m. if m<1 = 35°

(A) Find m<3
(B) Find m<7
(C) Find m<8
(D) Find m<5

Answer 1

∠ 3 = 35° , ∠ 7 = 145° , ∠ 8 = 35° , ∠ 5 = 145°

Explanation:

∠ 3 and ∠ 1 are vertically opposite angles and are congruent , then

∠ 3 = 35°

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∠ 3 and ∠ 5 are same- side interior angles and sum to 180°, that is

∠ 5 + ∠ 3 = 180°

∠ 5 + 35° = 180° ( subtract 35° from both sides )

∠ 5 = 145°

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∠ 5 and ∠ 7 are vertically opposite angles and are congruent , then

∠ 7 = 145°

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∠ 1 and ∠ 8 are corresponding angles and are congruent , then

∠ 8 = 35°

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