Question

the diagram shows a triangle.

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). Let the unknown angle be \(x\).

Step2: Set up the equation

We know two angles: \(87^\circ\) and \(45^\circ\). So, \(87^\circ + 45^\circ + x = 180^\circ\).

Step3: Calculate the sum of known angles

\(87 + 45 = 132\), so \(132^\circ + x = 180^\circ\).

Step4: Solve for \(x\)

Subtract \(132^\circ\) from both sides: \(x = 180^\circ - 132^\circ = 48^\circ\).

Answer:

The measure of the unknown angle is \(48^\circ\)