Question

quiz b
name
date

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 \\( ( 3 x + 21 ) ^ { \circ } \\).
solve for \\( x \\).
a. 3.8
b. 12.2
c. 33.8
d. 57.6

Explanation:

Step1: Set up the equation

Vertical angles are equal. So, \(57.6 = 3x+21\).

Step2: Subtract 21 from both sides

\(57.6 - 21=3x+21 - 21\), which simplifies to \(36.6 = 3x\).

Step3: Divide both sides by 3

\(\frac{36.6}{3}=\frac{3x}{3}\), so \(x = 12.2\).

Answer:

B. \(12.2\)