Question

what is the value of u? 40u+42° 41u u+38°

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two opposite interior angles:
$40u + 42 = 41u + (u + 38)$

Step2: Simplify right-hand side

Combine like terms on the right:
$40u + 42 = 42u + 38$

Step3: Rearrange to isolate u

Subtract $40u$ and $38$ from both sides:
$42 - 38 = 42u - 40u$
$4 = 2u$

Step4: Solve for u

Divide both sides by 2:
$u = \frac{4}{2}$

Answer:

$u=2$