olivia981 olivia981
  • 26-03-2019
  • Mathematics
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Point O is the center of the circle. What is the value of X?
Answer options: 64, 54, 34, 44.

Point O is the center of the circle What is the value of X Answer options 64 54 34 44 class=

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smmwaite
smmwaite smmwaite
  • 26-03-2019

Answer:

34°

Step-by-step explanation:

The angle made when a tangent and a radius intersect=90°

Therefore angle OQP =90°

The triangle made by the two radii is isosceles ( base angles are equal) hence angle POQ=180-2(62)

=56°

The right triangle  OPQ can hence be solved as follows

angle POQ=56°

angle OQP=90°

angle x=180-(56+90)=34° as all the interior angles of any triangle add up to 180°

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