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 ??
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Let ABCD be the parallelogram with ∠A=∠B.
We know, sum of adjacent angles of parallelogram is 180
o
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⇒ ∠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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