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# 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°

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### James

Guys, does anyone know the answer?

get 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° from EN Bilgi.

## is tangent to circle P at point Q. Circle P is shown. Line segment P Q is a radius. Line segment Q

Click here 👆 to get an answer to your 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 t…

03/05/2020 Mathematics High School

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°

The measure of the angle R is 37 degrees. Thus option A is correct option.

Given-

Given that the QR is the tangent of the circle P. Thus it is in right angle and angle Q is equal to the 90 degrees.

We know that the sum of all the angles in a triangle is equal to the 180 degrees. therefore using the sum rule of the triangle, we get,

Put the value of the angle Q and angle P in the above equation we get,

Rewrite and solve the equation for angle R

Hence, the measure of the angle R is 37 degrees. Thus option A is correct option.

brainly.com/question/11833983

Still stuck?

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

---> by complementary angles in a right triangle

substitute the given value

Still stuck?

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## Central Angles Quiz Flashcards

Start studying Central Angles Quiz. Learn vocabulary, terms, and more with flashcards, games, and other study tools.

## Central Angles Quiz

2.8 9 Reviews

FH is tangent to circle G at point F. What is the length of the radius, r?

Click card to see definition 👆

12 units

Click again to see term 👆

In circle D, ∠EDH ≅ ∠EDG. What is the measure of EH?

Click card to see definition 👆

123°

Click again to see term 👆

1/10 Created by Sarcxstic

### Terms in this set (10)

FH is tangent to circle G at point F. What is the length of the radius, r?

12 units

In circle D, ∠EDH ≅ ∠EDG. What is the measure of EH?

123°

What must be the length of ZY in order for ZY to be tangent to circle X at point Y?

15 units

In circle A, ∠BAE ≅ ∠DAE. What is the value of x?

17

Circle D is shown with the measures of the minor arcs. Which angles are congruent?

∠GDH and ∠EDH

In circle N, KL ≅ ML. What is the measure of JM?

132°

QR is tangent to circle P at point Q. What is the approximate length of RP? Round to the nearest tenth.

6.1 units

In circle T, ∠PTQ ≅ ∠RTS. What is the length of PQ? 3 units 4 units 6 units 7 units

4 units

Angles PTQ and STR are vertical angles and congruent. Which arcs are congruent?

PQ and SR

is tangent to circle p at point q. what is the measure of angle r

37°

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## In the diagram, segment PQ is a tangent to the circle at P and QRS is a straight line. The value of x is

Click here👆to get an answer to your question ✍️ In the diagram, segment PQ is a tangent to the circle at P and QRS is a straight line. The value of x is

Question

## In the diagram, segment PQ is a tangent to the circle at P and QRS is a straight line. The value of x is

A25

o

B30

o

C35

o

D40

o Medium Open in App Solution Verified by Toppr

Correct option is D)

180

o −∠QPS=∠PQS+PSQ

[Exterior angle of a triangle is equal to sum of interior opposite angles]

=35 0 +x ∠RPQ=∠PSQ=x 0

[Angles in the alternate segment]

∠TPS+∠SPR+∠RPQ=180 0 [Linear pair] 35+x+65+x=180 2x=180−100 2x=80 x 0 =40 0 Hence, option D. Video Explanation