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Hagrid
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help with two questions ?

for question 1-2 assume that lines that appear to be tangent are tangent. Point O is the center of the circle.Find the value of x. figures are not drawn to scalei have pictures of the problem

please help me only have two days left of school and these are my last two problems then im done please help me :)

help with two questions ? for question 1-2 assume that lines that appear to be tangent are tangent. Point O is the center of the circle.Find the value of x. fig class=
help with two questions ? for question 1-2 assume that lines that appear to be tangent are tangent. Point O is the center of the circle.Find the value of x. fig class=

Verified Answer :

I hope this helps you

View image Anonymous

The correct answers are:

#1: 44°; #2: 74°

Explanation:

#1) Since ∠O = 136°, the intercepted arc is also 136°. This means the other arc is 360-136=224°. The measure of an angle formed by two tangents is half of the difference of the intercepted arcs; this is 1/2(224-136) = 1/2(88) = 44°.

#2) Point Q is tangent to the circle, and forms a 90° angle with the radius at that point. Point P = 16°. The three angles together form a triangle, which has a sum of 180°. This means the missing angle is equal to 180-(90+16) = 180-106 = 74°.

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