Question

1. opposite angles of a parallelogram is 156º. Find the remaining ​

Answer 1

Let ABCD is a parallelogram.

Let ∠A+∠C=160

o

We know that, opposite angles of parallelogram are equal

∴ ∠A+∠A=160

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⇒ 2∠A=160

o

⇒ ∠A=80

o

⇒ ∠A+∠D=180

o

[ Sum of adjacent angles are 180

o

in parallelogram ]

⇒ 80

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+∠D=180

o

⇒ ∠D=100

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∴ ∠D=∠B=100

o

[Opposite angles of parallelogram are equal ]