Question

In given figure. P is centre of circle . In which angle CAP is 70 degree and angle CDA is x . find the value of x.give the answer

Answer 1

◆◆◆Step by step explanation◆◆◆

anglePAC+anglePCA+angleCPA=180°

【anglePAC=anglePCA because if opposite side are equal then opposite angle is also equal. 】
Now putting the value of angle PAC=70°

70°+70°+angleCPA=180°

angleCPA=180°-140°

angle CPA=40°

In ∆APD angle PAC is exterior angle so,

anglePDA+anglePAD=angleCPA

【anglePDA=anglePAD because if opposite side are equal then opposite angle is also equal. 】
anglePDA=x. (Given)

x+x=40°. (putting value of angleCPA)

2x=40

x=40/2

x=20°
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