Answer:
[tex]m{\angle}4=130^{\circ}[/tex]
Step-by-step explanation:
From the given diagram, it is given that the line l is parallel to the line m and the measure of the angle 1 is 140° and the measure of the angle 3 is 50°.
We have to find the measure of the angle 4, thus
Using the straight line property, we have
[tex]m{\angle}3+m{\angle}4=180^{\circ}[/tex]
⇒[tex]50^{\circ}+m{\angle}4=180^{\circ}[/tex]
⇒[tex]m{\angle}4=180^{\circ}-50^{\circ}[/tex]
⇒[tex]m{\angle}4=130^{\circ}[/tex]
Therefore, the measure of the angle 4 is 130°
