Question

Solve for x in the figure below
33
2x + 30
41​

Answer 1

Given:

An exterior angle of a triangle = 2x+30°

Two opposite interior angles are 33° and 41°.

To find:

The value of x.

Solution:

According to the exterior angle thereom, the exterior angle of a triangle is equal to the sum of opposite interior angles.

Using exterior angle theroem, we get

`(2x+30)^\circ=33^\circ+41^\circ`

`(2x+30)^\circ=74^\circ`

`(2x+30)=74`

On further simplification, we get

`2x=74-30`

`2x=44`

`x=(44)/(2)`

`x=22`

Therefore, the value of x is 22.