Question

what is the value of u?
5u
u+43°
2u+17°
u = \boxed{°}
submit

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two opposite interior angles, so:
$$5u = (u+43^\circ) + (2u+17^\circ)$$

Step2: Simplify right-hand side

Combine like terms:
$$5u = 3u + 60^\circ$$

Step3: Isolate variable u

Subtract $3u$ from both sides:
$$5u - 3u = 60^\circ$$
$$2u = 60^\circ$$

Step4: Solve for u

Divide both sides by 2:
$$u = \frac{60^\circ}{2}$$

Answer:

$30$