Question

multiple choice
find the value of (x).

image showing a straight line ad with a ray bc originating from point b. the angle abc is labeled ((x + 25)^circ) and the angle cbd is labeled ((4x - 10)^circ).

a (x = 160)
b (x = 58)
c (x = 122)
d (x = 33)

Explanation:

Set up the linear pair equation

$$ (x + 25) + (4x - 10) = 180 $$

Simplify and solve for x

$$
LATEXBLOCK0
$$

Answer:

• (A) \(x = 160\)
• (B) \(x = 58\)
• (C) \(x = 122\)
• (D) \(x = 33\) (Correct answer)