Question

In a parallelogram ABCD, ∠D 1150 ,find the measure of ∠ A.​

Answer 1

Step-by-step explanation:

Since the sum of any two consecutive angles of a parallelogram is 180

o

. Therefore,

∠A+∠D=180

o

and ∠A+∠B=180

o

Now, ∠A+∠D=180

o

∠A+115

o

=180

o

∠A=65

o

and, ∠A+∠B=180

o

65

o

+∠B=180

o

∠B=115

o

Thus, ∠A=65

o

and ∠B=115

o

.