Question

what is the value of b?
36°
4b
5b + 25°
b =
submit

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles, so:
$$5b + 25 = 36 + 4b$$

Step2: Isolate variable b

Subtract $4b$ from both sides:
$$5b - 4b + 25 = 36$$
Simplify to get:
$$b + 25 = 36$$

Step3: Solve for b

Subtract 25 from both sides:
$$b = 36 - 25$$

Answer:

$11$