Question

Find the values of a and b. The diagram is not to scale. Its not c

A. a=115, b=71
B. a=115,b=65

D. a=109,b=65

Answer 1

your answer would be A) .

Answer 2

Option A is correct : . a=115, b=71

Explanation:

Consider the attached file.

AB is parallel to CD.

∠1+ a° = 180° (since sum of linear pairs is 180°) ---(A)

And ∠1 = ∠2 because they are corresponding angles.

∠1 = ∠2 = 65°

Putting this value in (A)

⇒65°+ a° = 180°

⇒a° = 180°-65°

⇒a° = 115°

∠3+ 109° = 180°(since sum of linear pairs is 180°) ---(B)

⇒∠3 = 180°-109°

⇒∠3 = 71°

Now, ∠3 = b° (because they are corresponding angles and corresponding angles are equal)

⇒∠3= b°= 71°

Thus Option A is correct : . a=115, b=71