Question

3.) find the measure of the missing angle x:

Explanation:

Step1: Find the adjacent angle of \(120^{\circ}\)

The sum of adjacent angles on a straight line is \(180^{\circ}\). Let the adjacent angle be \(y\).
\(y + 120^{\circ}=180^{\circ}\)
\(y=180^{\circ}- 120^{\circ}=60^{\circ}\)

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let the angles of the triangle be \(x\), \(70^{\circ}\), and \(y = 60^{\circ}\).
\(x+70^{\circ}+60^{\circ}=180^{\circ}\)
\(x=180^{\circ}-(70^{\circ}+60^{\circ})\)
\(x = 50^{\circ}\)

Answer:

\(50^{\circ}\)