Question

In the diagram below, line d is parallel to line c.

Which statement is true?


A

m∠1+m∠2=162∘


B

m∠1+m∠2=172∘


C

m∠1+m∠2=180∘


D

m∠1+m∠2=188∘

Answer 1

85° = ∠x {corresponding angles}

∠x = ∠1 {vertically opp. angles}

And, ∠2 + 103° = 180° ( co-interior angles)

∠2 = 180° - 103°

∠2 = 77°

Now, m∠1 + m∠2 = 85° + 77°

= 162°

Hemce, option A. is the right answer.