Question

the diagram shows a triangle. what is the value of u? u =

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, 2u + 2u+32° = 180°.

Step2: Combine like - terms

4u+32° = 180°.

Step3: Isolate the variable term

Subtract 32° from both sides: 4u=180° - 32° = 148°.

Step4: Solve for u

Divide both sides by 4: u = $\frac{148^{\circ}}{4}=37^{\circ}$.

Answer:

37