Question

guided practice
find the value of x
a. 25
b. 32
c. 12
d. 15
(angle labels: (x + 10)°, (4x - 35)° with intersecting lines diagram)
proving angles congruent

Explanation:

Step1: Identify Vertical Angles

Vertical angles are equal, so set \((x + 10)^\circ=(4x - 35)^\circ\).

Step2: Solve for \(x\)

Subtract \(x\) from both sides: \(10 = 3x - 35\).
Add 35 to both sides: \(45 = 3x\).
Divide by 3: \(x=\frac{45}{3}=15\).

Answer:

D. 15