Question

Find m rs. sr 6x + 6 rq 2x + 14

Answer 1

arc RS = 72°

Explanation:

The measure of the inscribed angle SQR is half the measure of its intercepted arc RS , then

2x + 14 =
`(1)/(2)` (6x + 6) = 3x + 3 ( subtract 2x from both sides )

14 = x + 3 ( subtract 3 from both sides )

11 = x

Then

RS = 6x + 6 = 6(11) + 6 = 66 + 6 = 72°