Question

what is the value of x? (2x + 24)° 144° drawing not to scale o 36 o 120 o 84 o 60

Explanation:

Step1: Identify angle - relationship

The two angles $(2x + 24)^{\circ}$ and $144^{\circ}$ are vertical angles, and vertical angles are equal. So we set up the equation $2x+24 = 144$.

Step2: Solve the equation for x

Subtract 24 from both sides of the equation: $2x=144 - 24$. So $2x = 120$. Then divide both sides by 2: $x=\frac{120}{2}=60$.

Answer:

D. 60