Question

If AP and AQ are the two tangents to a circle with centre ‘O’so that angle POQ =110° then angle PAQ is ......?

Answer 1

Answer: PAQ=70°

Step By Step Explanation:

Given

AP and AQ are 2 tangents

A circle with centre o

POQ=110°

Find

PAQ

Steps

APO and AQO = 90°( tangent theorem)

APO+POQ+OQA+PAQ=360°(angle sum property)

90°+110°+90°+PAQ=360°

290°+PAQ=360°

PAQ=360°-290°

PAQ=70°