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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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    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

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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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    Expert-verified answer

    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.

    For more about the circle follow the link below-

    brainly.com/question/11833983

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    Muxakara and 29 more users found this answer helpful

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    Answer

    Answer: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

    ---> by complementary angles in a right triangle

    substitute the given value

    Still stuck?

    laminiaduo7 and 151 more users found this answer helpful

    4.8 (60 votes) 37

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

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    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°

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    1/10 Created by Sarcxstic

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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

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