Question

what is the value of u?
14u+22°
9u+33°
32°
write your answer as an integer or as a decimal rounded to the nearest tenth.
u = \boxed{\circ}

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles, so:
$14u + 22 = (9u + 33) + 32$

Step2: Simplify the right-hand side

Combine the constant terms:
$14u + 22 = 9u + 65$

Step3: Isolate terms with $u$

Subtract $9u$ from both sides:
$14u - 9u + 22 = 65$
$5u + 22 = 65$

Step4: Solve for $u$

Subtract 22 from both sides, then divide by 5:
$5u = 65 - 22$
$5u = 43$
$u = \frac{43}{5}$

Answer:

$u = 8.6$