ABCD is a parallelogram. DQ is the angle bisector of <D meeting AB at P and CB produced to Q. Show that <APD= <PQB.
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Step-by-step explanation:
In Tri. ADP and Tri. CDQ
< A = < C ( opposite angles of parallelogram )
< CDQ = < ADP ( bisected angle)
Tri. ADP is similar to triangle CDQ ( by Angle Angle)
Then < APD = < PQB
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