QR is tangent to circle P at point Q.

Circle P is shown. Line segment P Q is a radius. Line segment Q R is a tangent that intersects the circle at point Q. A line is drawn from point R to point P and goes through a point on the circle. Angle Q P R is 53 degrees.

What is the measure of angle R?

37°
53°
90°
97°

QR is tangent to circle P at point Q Circle P is shown Line segment P Q is a radius Line segment Q R is a tangent that intersects the circle at point Q A line i class=

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Answer:

A. 37 degrees

Step-by-step explanation:

Since QR is tangent to the circle, it means that is in a right angle. Meaning that angle Q is equal to 90 degrees.

Since you know what two angles are equal to, you can use the triangle angle sum theorem by setting them all up to 180.

53+90+x=180

Simplify the answer

143+x=180

Subtract 143 from both sides

X=37

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Answer:

A

Step-by-step explanation: