Question

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

Explanation:

Step1: Use the triangle angle sum property

The sum of interior angles of a triangle is \(180^{\circ}\). So, \(19u + 64^{\circ}+78^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side

First, add \(64^{\circ}\) and \(78^{\circ}\): \(64 + 78=142\). The equation becomes \(19u+142^{\circ}=180^{\circ}\).

Step3: Solve for \(u\)

Subtract \(142^{\circ}\) from both sides: \(19u=180 - 142\). So, \(19u = 38\). Then divide both sides by \(19\): \(u=\frac{38}{19}\).

Answer:

\(2\)