please give me the answer with steps... please please
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Answer:
PQR = 60
QRP = 70
RPQ = 50
DPR = 70
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Step-by-step explanation:
Here CD is parallel to AB.
=>alternate interior angles are equal and interior angles on same side of transversal are supplementary.
(a) =>angle(CPQ) = angle(PQR) = 60°
(b) angle(QRP) + angle(PRB) = 180° (linear pair)
=>angle(QRP) = 180 - 110 = 70°
(c) angle(RPQ) + angle(QRP) + angle(PQR) = 180° (sum of interior angles of triangle is 180)
=>angle(RPQ) + 60 + 70 = 180
=>angle(RPQ) = 180 - 60 - 70 = 50°
(d) angle(DPR) + angle(PRB) = 180°
(interior angles on same side of transversal)
=> angle(DPR) = 180 - 110
=> angle(DPR) = 70°
Hope it helps...
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