Question

determine the value of x.
a. x = 149
b. x = 121
c. x = 177
d. x = 28
149°
(x - 28)°

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. The angle measuring $149^{\circ}$ and the angle measuring $(x - 28)^{\circ}$ are vertical angles. So, $x-28 = 149$.

Step2: Solve for x

Add 28 to both sides of the equation $x-28 = 149$. We get $x=149 + 28$.
$x=177$.

Answer:

C. $x = 177$