Question

question
in circle j, mih = 142°. solve for x if m∠igh = (10x + 36)°. if necessary, round your answer to the nearest tenth.

Explanation:

Step1: Apply inscribed angle theorem

$m\angle IGH = \frac{1}{2} \times m\overset{\frown}{IH}$

Step2: Substitute given values

$10x + 36 = \frac{1}{2} \times 142$

Step3: Calculate right-hand side

$10x + 36 = 71$

Step4: Isolate the variable term

$10x = 71 - 36$
$10x = 35$

Step5: Solve for x

$x = \frac{35}{10} = 3.5$

Answer:

$3.5$