Question

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

Explanation:

Step1: Use the triangle angle sum theorem

The sum of angles in a triangle is \(180^{\circ}\). So, \(2u + 5u+61^{\circ}=180^{\circ}\).

Step2: Combine like terms

Combine \(2u\) and \(5u\) to get \(7u\). The equation becomes \(7u + 61^{\circ}=180^{\circ}\).

Step3: Isolate the variable term

Subtract \(61^{\circ}\) from both sides: \(7u=180^{\circ}- 61^{\circ}\). So, \(7u = 119^{\circ}\).

Step4: Solve for \(u\)

Divide both sides by \(7\): \(u=\frac{119^{\circ}}{7}\).

Answer:

\(17\)