Question

Solve for x in the figure below 332x + 3041​

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

$2x=74-30$

$2x=44$

$x=\dfrac{44}{2}$

$x=22$

Therefore, the value of x is 22.