please give me this answer
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as PR is the bisector of angle APQ so angle APR=RPQ. as APQ+DPQ=180 degree so angle RPQ= 180-110=70/2=35 similarly RQP=70/2=35 .so angle x=110
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Answer:
x= 110°
Step-by-step explanation:
BPQ=DQP=110°(angles on the same side of a transversal are always equal.)
APQ+BQP=180°
APQ+110°=180°
APQ=180°-110°
APQ=70°
similarly,CQP=70°
APQ is bisected by PR
RPQ=APQ/2
RPQ=70°/2
RPQ=35°
similarly,RQP=35°
In ∆RPQ, sum of all the angles are 180°
RPQ+RQP+QPR=180°
35°+35°+QRP=180°
QRP=180°-70°
QRP=110°
QRP=x (vertically opposite angles)
x=110°
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