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
[tex](2x+30)^\circ=33^\circ+41^\circ[/tex]
[tex](2x+30)^\circ=74^\circ[/tex]
[tex](2x+30)=74[/tex]
On further simplification, we get
[tex]2x=74-30[/tex]
[tex]2x=44[/tex]
[tex]x=\dfrac{44}{2}[/tex]
[tex]x=22[/tex]
Therefore, the value of x is 22.
