Question

1. two vertical angles are labeled as $\angle c$ and $\angle d$. the measure of $\angle c$ is $57.6^\circ$ the measure of $\angle d$ is $(3x + 21)^\circ$.

solve for $x$.
a. 3.8
b. 12.2
c. 33.8
d. 57.6

Explanation:

Step1: Set angles equal (vertical angles)

$3x + 21 = 57.6$

Step2: Subtract 21 from both sides

$3x = 57.6 - 21$
$3x = 36.6$

Step3: Divide by 3 to solve for x

$x = \frac{36.6}{3}$

Answer:

B. 12.2