Question

the diagram shows a triangle.
what is the value of u?
u = \boxed{\space}°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(4u + (u + 47^\circ) + 73^\circ = 180^\circ\).

Step2: Simplify the equation

Combine like terms: \(4u + u + 47 + 73 = 180\) → \(5u + 120 = 180\).

Step3: Solve for \(u\)

Subtract 120 from both sides: \(5u = 180 - 120 = 60\). Then divide by 5: \(u = \frac{60}{5} = 12\).

Answer:

\(u = 12\)