In the figure, what is the value of x?a. 45b. 60c. 75d. 90
Accepted Solution
A:
Answer: x = 90============================================Explanation:The arc measure is some unknown number x, so is the angle formed by the tangents that form based on this arc. The arc and angle add to 180, so,x+x = 1802x = 1802x/2 = 180/2x = 90A right angle forms if we were to draw segments from the center of the circle to the points of tangency. We have a square forming if we do so. Recall that the points of tangency have the radius and tangent segments meet up at a 90 degree angle.