Question

based on the following figure, determine the values. enter your answers in each box.$(6x+27)\degreeLXB0x = \square$ and $m\angle acb = \square$

Explanation:

Step1: Set angles equal (vertical angles)

$6x + 27 = 12x - 9$

Step2: Rearrange to solve for $x$

$27 + 9 = 12x - 6x$
$36 = 6x$
$x = \frac{36}{6} = 6$

Step3: Substitute $x$ to find angle

$m\angle ACB = 6(6) + 27 = 36 + 27 = 63$

Answer:

$x = 6$ and $m\angle ACB = 63$