Question

maths ncert solution class 9 ch 10.5
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Answer 1

Step-by-step explanation:

Given,

2 circles intersects at 2 points B and C. Through B two line segments ABD and PBQ intersect the circles A,DandP,Q

To proof,

angleACP=angleQCD

Proof: In this figure, angle PBA= angleDBQ (vertically opposite angle)....1

Now,

angle PBA= angle PCA(angle on the same segment)................2

similarly, angle DBQ = angle DCQ(angle on the same segment)...............3

From Eq. 1,2and3, we have,

angle PCA = angle DCQ

therefore, angle ACD = angle QCD

(Hence Proved)

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