Question

in circle $x$, $m\angle vxw = 65^\circ$. solve for $x$ if $m\widehat{vw} = (10x - 50)^\circ$. if necessary, round your answer to the nearest tenth.
answer
attempt 1 out of 2
$x = $

Explanation:

Step1: Relate central angle to arc

The measure of a central angle equals the measure of its intercepted arc, so set $m\angle VXW = m\overset{\frown}{VW}$.
$$65 = 10x - 50$$

Step2: Isolate the variable term

Add 50 to both sides of the equation.
$$65 + 50 = 10x$$
$$115 = 10x$$

Step3: Solve for x

Divide both sides by 10.
$$x = \frac{115}{10}$$

Answer:

$11.5$