Question

The diagram shows a circle with center C, a diameter RS, and an inscribed triangle RST.

mZRTS = (4x -14)

What is the value of x?

Answer 1

x = 26

Explanation:

m<RTS = 4x - 14 (given)

Based on the inscribed angle theorem, the measure of the inscribed angle in a semicircle = right angle (90°)

Therefore,

4x - 14 = 90

4x - 14 + 14 = 90 + 14 (addition property of equality)

4x = 104

4x/4 = 104/4

x = 26