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in the diagram PQ and PS are tangents drawn to circle O, and the chord QS is drawn. If the measure of angle P=40, what is the measure of angle PQS

in the diagram PQ and PS are tangents drawn to circle O and the chord QS is drawn If the measure of angle P40 what is the measure of angle PQS class=

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wolf1728
Triangle PQS is an isosceles triangle, so angle PQS = angle PSQ = 70 degrees.

If the measure of m∠P = 40°, the measure of m∠PQS is 70 degrees.

What is a tangent of a circle?

A tangent to a circle is a straight line which touches the circle at only one point.

The length of tangent PQ and PS are equal. Therefore, triangle PQS is an isosceles traingle.

Hence, the base of the isosceles triangle are equal. Therefore,

let

m∠PQS = x

m∠PSQ = x

40 + 2x = 180

2x = 180 - 40

2x = 140

x = 140 / 2

x = 70 degrees

learn more on tangent here: https://brainly.com/question/10058695

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