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Answers
1) Given,angle C =72°
angle a= 72°(vertically opposite angles)
angle b=180-angle a = 180-72=108° (adjacent angles)
angle d =angle b =108°(Vertically opposite angles)
angle f =angle a=72°(corresponding angles)
angle g =angle f=72°(vertically opposite)
angle e = angle b =108°(corresponding angles)
angle h = angle e=108°(vertically opposite angles)
2) we know that, exterior angle=sum of opposite interior angles
=>angle PRT = angle QPR + PQR
=>angle PRT= 65°+[180-(65+45)]
=>angle PRT= 65 + 70°
=>angle PRT= 135°
If QP // RS , PR is transversal.
=>angle QPR= angle PRS(alternate interior angles)
thus angle PRS=65°
According to the problem,
angle PRT=angle PRS+SRT
135° = 65+angle SRT
therefore,angle SRT = 70°
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Answer:70°
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