Question

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

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((u + 6)+(u + 6)+5u=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(u+6+u + 6+5u=(1 + 1+5)u+(6 + 6)=7u+12\). The equation becomes \(7u+12 = 180\).

Step3: Isolate the variable term

Subtract 12 from both sides: \(7u+12-12=180 - 12\), which gives \(7u=168\).

Step4: Solve for \(u\)

Divide both sides by 7: \(u=\frac{168}{7}\).

Answer:

\(24\)