Question

In a parallelogram ABCD, if ∠A = 65⁰, then the measure of (∠D + ∠B) is ​

Answer 1

Answer:

∠D+∠B = 230°

Step-by-step explanation:

AB || CD then ∠A and ∠D are supplementary which means ∠A+∠D = 180°

So, ∠D=180°-∠A = 180°- 65° = 115°

and ∠D = ∠B as the opposite angles of parallelogram (property of parallelogram)

∠D+∠B = 115° + 115° = 230°