Question

The measure of angle 1 is 30°, and the measure of angle 2 is 110°. What is the measure of angle 4?

A. 40°
B. 80°
C. 140°
D. 220°

Answer 1

C. 140

Explanation:

Add the two angles, sub from 180 to get 40, then sub 40 from 180 to get 140.

Answer 2

the correct option is A)
`\angle 4 =40\degree`

Explanation:

Given : - Measure of angle 1 is 30°, and the measure of angle 2 is 110° .

We need to find the the angle 4

Since, The sum of interior angles of triangle is
`180^(\circ)`

`\angle 1 + \angle 2 + \angle 4 =180^(\circ)`

`30^(\circ) +110^(\circ) + \angle 4 =180^(\circ)`

`140^(\circ) + \angle 4 =180^(\circ)`

Subtract both the sides by
`140^(\circ)`

`140^(\circ) + \angle 4 -140^(\circ) =180^(\circ) - 140^(\circ)`

`\angle 4 =180^(\circ) - 140^(\circ)`

`\angle 4 =40^(\circ)`

Hence, the correct option is A)
`\angle 4 =40^(\circ)`