Question

this question is related from class 8 book exercise 16A

2. Two adjacent angles of a parallelogram are equal. What is the measure of each of
these angle ??​

Answer 1

Let ABCD be the parallelogram with ∠A=∠B.

We know, sum of adjacent angles of parallelogram is 180

o

.

⇒ ∠A+∠B=180

o

⇒ 2∠A=180

o

[ Since, ∠A=∠B ]

⇒ ∠A=90

o

⇒ ∠B=∠A=90

o

⇒ ∠A=∠C=90

o

[ Opposite angles of parallelogram ]

⇒ ∠B=∠D=90

o

[ Opposite angles of parallelogram ]

∴ Each angle of the parallelogram measures is 90 degree

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