Question

Given the following diagram, find the required measure.

Given: l | | m
m 1 = 140°
m 3 = 50°



m 4 =

40
90
130
140

Answer 1

`m{\angle}4=130^(\circ)`

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°

Answer 2

m4 = 180 - m3

m4 = 180 -50

m4 = 130