Question

what is the value of b?
write your answer as an integer or as a decimal rounded to the nearest tenth.
b = \\(\square\\)°
submit
work it out
not feeling ready yet? these can help:
solve linear equations: mixed review (36)
angle measures
lesson: exterior angles of triangles

Explanation:

Step1: Apply exterior angle theorem

$12b = 6b + 3b + 32$

Step2: Simplify right-hand side

$12b = 9b + 32$

Step3: Isolate variable term

$12b - 9b = 32$

Step4: Calculate and solve for b

$3b = 32$
$b = \frac{32}{3}$

Step5: Convert to decimal

$b \approx 10.7$

Answer:

$b = 10.7^\circ$