Question

1. find the missing angle x.

Explanation:

Step1: Find the adjacent angle of \(155^{\circ}\)

The sum of adjacent angles on a straight line is \(180^{\circ}\). Let the adjacent angle be \(y\), then \(y = 180^{\circ}- 155^{\circ}=25^{\circ}\)

Step2: Use the exterior - angle property of a triangle

The exterior - angle property of a triangle states that the exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So \(x=y + 60^{\circ}\)
Substitute \(y = 25^{\circ}\) into the equation: \(x=25^{\circ}+60^{\circ}\)

Answer:

\(x = 95^{\circ}\)