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

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, 30°+7u + 18u=180°.

Step2: Combine like - terms

Combine the terms with u: 30+(7 + 18)u=180, which simplifies to 30 + 25u=180.

Step3: Isolate the term with u

Subtract 30 from both sides: 25u=180 - 30, so 25u=150.

Step4: Solve for u

Divide both sides by 25: u = $\frac{150}{25}$ = 6.

Answer:

6