Question

the diagram shows a triangle.
what is the value of u?
u = \square^\circ
submit

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(10u + 3u + (u + 26^\circ) = 180^\circ\).

Step2: Combine like terms

Combine the \(u\) terms: \(10u + 3u + u = 14u\). So the equation becomes \(14u + 26^\circ = 180^\circ\).

Step3: Solve for \(u\)

Subtract \(26^\circ\) from both sides: \(14u = 180^\circ - 26^\circ = 154^\circ\). Then divide by 14: \(u = \frac{154^\circ}{14} = 11^\circ\).

Answer:

\(11\)