Question

solve for x.
e
15x + 11
88°
d
c

Explanation:

Step1: Relate angle and arc measure

An inscribed angle is half its intercepted arc. So:
$$88 = \frac{1}{2}(15x + 11)$$

Step2: Multiply both sides by 2

Eliminate the fraction:
$$176 = 15x + 11$$

Step3: Subtract 11 from both sides

Isolate the term with $x$:
$$176 - 11 = 15x$$
$$165 = 15x$$

Step4: Divide by 15 to solve for x

Calculate $x$:
$$x = \frac{165}{15}$$

Answer:

$x = 11$