[tex]$x=\frac{53}{2}^{\circ}[/tex]
Solution:
Let us first define the exterior angle theorem of triangles.
Exterior angle theorem:
The measure of the exterior angle is equal to the sum of the measures of the two opposite interior angles.
In the given triangle,
Measure of exterior angle = 98°
Measure of one opposite interior angle = 44°
Measure of other opposite interior angle = (2x + 1)°
To find the value of x:
Using exterior angle theorem,
⇒ 44° + (2x + 1)° = 98°
⇒ 44° + 2x° + 1° = 98°
⇒ 45° + 2x° = 98°
⇒ 2x° = 98° – 45°
⇒ 2x° = 53°
[tex]$\Rightarrow x=\frac{53}{2}^{\circ}[/tex]
Hence the value of x is [tex]\frac{53}{2}^{\circ}[/tex].
