Question

the sum of two opposite angles of parallelogram is 130° find the angle of parallelogram

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Answer 1

In || gm ABCD, ∠A and ∠C are opposite angles.

∴ ∠A +∠C = 130°

But ∠A = ∠C (opposite angles)

∴ ∠A = ∠C = 130°/2 = 65°

But ∠A + ∠B = 180° (Sum of adjacent angles)

⇒ 65° + ∠B = 180°

⇒ ∠B = 180° - 65° = 115°

But ∠D = ∠B (opposite angles)

∴ ∠D = 115°

Hence, ∠A = 65°, ∠B = 115°, ∠C = 65°, ∠D = 115°

Answer 2

Step-by-step explanation:

hope its help u

refer the attachment