Question

द सम ऑफ ऑपोजिट एंगल आफ पैरेललोग्राम इज 160 डिग्री फाइंड थे मेजर आफ ईच एंगल​

Answer 1

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Let ABCD is a parallelogram.

Let ∠A + ∠C = 160°

We know that, opposite angles of parallelogram are equal

∴ ∠A + ∠A = 160`

⇒ 2∠A = 160°

⇒ ∠A = 80°

⇒ ∠A + ∠D = 180°

[ Sum of adjacent angles are 180° in parallelogram ]

⇒ 80° + ∠D = 180°

⇒ ∠D = 100°

∴ ∠D = ∠B = 100°⠀⠀⠀⠀⠀

[ Opposite angles of parallelogram are equal ]