Question

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°

Answer 1

Answer:37

Step-by-step explanation:

Answer 2

Answer:

$m\angle R=37^o$

Step-by-step explanation:

we know that

If Line segment Q R is a tangent to circle P at point Q

then

Line segment QR is perpendicular to line segment PQ (radius) and PQR is a right triangle

so

$m\angle QPR+m\angle R=90^o$ ---> by complementary angles in a right triangle

substitute the given value

$53^o+m\angle R=90^o$

$m\angle R=90^o-53^o=37^o$