Question

Given the following diagram, find the required measure.

Answer 1

m4 = 180 - m3

m4 = 180 -50

m4 = 130

Answer 2

Answer:

$m{\angle}4=130^{\circ}$

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

$m{\angle}3+m{\angle}4=180^{\circ}$

⇒$50^{\circ}+m{\angle}4=180^{\circ}$

⇒$m{\angle}4=180^{\circ}-50^{\circ}$

⇒$m{\angle}4=130^{\circ}$

Therefore, the measure of the angle 4 is 130°