Question

4. (i) In Fig. 6.144, find the value of angle QRP when QP II RT


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Answer 1

Answer:

61

Step-by-step explanation:

If we take the angle between 57 and R as 1

Then, 1=62 (Alternate interior with 62)

So, 62+57+R=180 (Straight line angle)

R= 61

Answer 2

Step-by-step explanation:

Angle TRS Is the angle bisector angle PRS

So Angle PRS= 2*TRS

Therefore Angle PRS=2*57

Angle TRS=114°

And Angle QRP is in the linear pair with Angle PRS

So Angle PRS+Angle QRP=180°

Therefore 114+QRP=180°

So QRP= 180-114

So QRP=66°