ABCD is a parallelogram the bisectors of consecutive angles A and B intersect at O show that angle AOB=90°
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Use Properties of Triangles
Step-by-step explanation:
Given, ABCD is a Parallelogram
where AD is parallel to BC and AB is the transversal.
Now, As ΔBAD & ΔCBA = 180 (Angles on the same side of transversal)
As per the question,
⇒
So, In ΔAOB,
By Angle Sum Property of Triangles,
⇒
So,
Hence, Bisectors of any two consecutive angles of a parallelogram intersect at Right Angles
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