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1 vote
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 1-2 assume that lines that appear to be tangent-example-1
Help with two questions ? for question 1-2 assume that lines that appear to be tangent-example-1
Help with two questions ? for question 1-2 assume that lines that appear to be tangent-example-2

2 Answers

6 votes
I hope this helps you
Help with two questions ? for question 1-2 assume that lines that appear to be tangent-example-1
User Jen Jose
by
8.5k points
3 votes

The correct answers are:

#1: 44°; #2: 74°

Step-by-step 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°.

User Siva Ganesh
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8.2k points