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Question

Find the measure of P and S if SP || RQ.

If S is given as 90, is there any other method to find P? (3 marks)


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Solution

Solution:

Here,P+Q=180 [Sum of cointerior angles is 180]P+130=180P=180130P=50
(1 mark)
R=90 [Given]S+90=180[Sum of cointerior angles is 180]S=18090S=90
(1 mark)
Yes, we can use another method to find PS+R+Q+P=360 [Angle sum property of quadrilateral]90+90+130+P=360310+P=360P=360310P=50 (1 mark)

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