Question

In the adjoining figure, ABCD is a parallelogram. If ∠CAD = 36° and ∠ABC = 110°, then ∠BAC is ______.

पर्याय

• 36°

• 34°

• 72°

• 74°

Answer 1

34°

Explanation:

In a parallelogram, adjacent angles are supplementary.

So, ∠A = 180° – ∠B

= 180° – 110° 

= 70°

The diagonal AC splits ∠A into ∠BAC and ∠CAD.

So, ∠BAC = ∠A – ∠CAD

= 70° – 36°

= 34°