Question

1. (x - 55)° 157°

Explanation:

Step1: Use the property of supplementary angles

Supplementary angles sum to \(180^{\circ}\). So, \((x - 55)+157 = 180\).

Step2: Solve the equation for \(x\)

Simplify the left - hand side: \(x-55 + 157=x + 102\). Then \(x+102 = 180\). Subtract \(102\) from both sides: \(x=180 - 102\).

Answer:

\(x = 78\)