akhilmartin123 akhilmartin123

23-05-2018
Mathematics

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O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?

O is the center of the circle Assume that lines that appear to be tangent are tangent What is the value of x class=

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CastleRook CastleRook

01-06-2018

Given that QO is the radius and PQ is tangent to circle O, then ΔPQO is a right triangle. Hence the value of x will be obtained as follows:
Sum of angles in a triangle is equal to 180°. Thus
x+17+90=180
x+107=180
thus
x=180-107
x=73°

Answer: x=73°

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