if the bisectors of angle A and Angle B of the parallelogram ABCD meet at P find the measures of APB
Answers
Answered by
2
Answer:
ABCD is a parallelogram
⇒ ∠A+∠B=180
o
[ Sum of adjacent angles of parallelogram are supplementary ]
⇒
2
1
∠A+
2
1
∠B=
2
180
o
⇒ ∠OAB+∠OBA=90
o
In △AOB
⇒ ∠OAB+∠AOB+∠OBA=180
o
⇒ ∠AOB=180
o
−(∠OAB+∠OBA)
⇒ ∠AOB=180
o
−(∠OAB+∠OBA)
⇒ ∠AOB=180
o
−90
o
∴ ∠AOB=90
o
Step-by-step explanation:
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Answered by
1
Answer:
the absolute correct answer is 90 degree
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