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 the interior angles of a triangle is 180°. So, \((2u - 10)+(u - 35)+30=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(2u+u-10 - 35 + 30=180\), which simplifies to \(3u-15 = 180\).

Step3: Isolate the variable term

Add 15 to both sides of the equation: \(3u-15 + 15=180 + 15\), resulting in \(3u=195\).

Step4: Solve for \(u\)

Divide both sides of the equation by 3: \(u=\frac{195}{3}=65\).

Answer:

65