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SOMEONE PLEASE HELPPPP
I need help on 3 and 4

SOMEONE PLEASE HELPPPP I need help on 3 and 4-example-1
User Shanewwarren
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1 Answer

21 votes
21 votes

Answer:

Explanation:

Parallel lines and transversal:

Linear pair: When the uncommon arms of two adjacent angles form a straight line, the adjacent angles are called linear pair and they add upto 180

3) ∠3 + ∠2 = 180

65 + ∠2 = 180

∠2 = 180 - 65

∠2 = 115°

When parallel lines are intersected by transversal, alternate exterior angles are congruent.

a // b and d is transversal.

∠5 = ∠11

∠5 = 100°

When parallel lines are intersected by transversal, the alternate interior angles are congruent.

a // b and c is transversal

m∠13 = ∠3

∠13 = 65°

4) ∠3 & ∠14 are co-interior angles. Co-interior angles are supplementary.

∠3 + ∠14 = 180

65 + ∠14 = 180

∠14 = 180 - 65

∠14 = 115°

∠5 + ∠8 = 180 {Linear pair}

100 + ∠8 = 180

∠8 = 180 - 100

∠8= 80

∠9 = ∠11 {vertically opposite angles are congruent}

∠9 = 100

∠ 3 + ∠14 + ∠ 8 + ∠9 = 65 + 115 + 80 + 100

= 360°

User Reticent
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