Question

In a ||5m ABCD, if A = 115°, then

ZB, LC and LD are respectively of -

65°, 65°, 115

65°, 115°, 65°

65°, 65°, 130

65°, 1150, 65°​

Answer 1

Answer:

,Let ABCD be a parallelogram in which ∠A=65

∘

.

Since AD∥BC we can treat AB as a transversal. So,

∠A+∠B=180

∘

65

∘

+∠B=180

∘

∠B=180

∘

−65

∘

∠B=115

∘

Since the opposite angles of a parallelogram are equal, we have

∠C=∠A=65

∘

and ∠D=∠B=115

∘

Hence, ∠B=115

∘

,∠C=65

∘

and ∠D=115

∘

solution

Answer 2

Step-by-step explanation:

Let ABCD be a parallelogram in which ∠A=65

∘

.

Since AD∥BC we can treat AB as a transversal. So,

∠A+∠B=180∘

65∘ +∠B=180∘

∠B=180∘

−65 ∘

∠B=115 ∘

Since the opposite angles of a parallelogram are equal, we have

∠C=∠A=65∘

and ∠D=∠B=115∘

Hence, ∠B=115

∠C=65⁰

and ∠D=115⁰

hope it is helpful