Question

in circle $t$, $m\overset{\frown}{us} = 64^\circ$. solve for $x$ if $m\angle uts = (8x - 49)^\circ$. if necessary, round your answer to the nearest tenth.

Explanation:

Step1: Set angle equal to arc measure

$8x - 49 = 64$

Step2: Isolate the term with $x$

$8x = 64 + 49$
$8x = 113$

Step3: Solve for $x$

$x = \frac{113}{8}$

Answer:

$14.1$