Question

30. In fig. 5.11, if ABI|CD, APO = 50° and PRD = 130°, then find QPR




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Answer 1

Answer:

angle QRP=180-130 (linear pair)

so angleQRP=50°

NOW,

angleQRP= angleBPR (alternate interior angles)

so angle BPR=50°

Now,

angleAPQ+angleQPR+angleBPR= 180° (sum of angles on a straight line is 180°)

So, 50°+x°+50°=180°

x=80°

So, angleQPR=80°