Question

1. ( mangle 2=x + 135 )

Explanation:

Step1: Find the supplementary angle of \(108^{\circ}\)

The supplementary angle of \(108^{\circ}\) is \(180 - 108=72^{\circ}\)

Step2: Use the property of the triangle

Since the two sides of the triangle are equal, the base angles are equal. The sum of angles in a right - angled quadrant is \(90^{\circ}\). Let's assume the unknown angle related to \(x\) part. We know that \(m\angle2 = 90^{\circ}\) (right angle).
Set up the equation \(x + 135=90\)

Step3: Solve the equation for \(x\)

Subtract \(135\) from both sides: \(x=90 - 135=- 45\)

Answer:

\(x=-45\)