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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 scale*i 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 12 assume that lines that appear to be tangent are tangent Point O is the center of the circleFind the value of x figures a class=
help with two questions for question 12 assume that lines that appear to be tangent are tangent Point O is the center of the circleFind the value of x figures a class=

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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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