<u>Given</u>:
The interior angles of the triangle are 44°, 3t - 45° and x - 15°
The exterior angle of the triangle is 4t - 29°
We need to determine the value of x.
<u>Value of t:</u>
The value of t can be determined using the exterior angle theorem.
Applying the theorem, we have;
Thus, the value of t is 28.
<u>Value of x:</u>
The exterior angle 4t -29 and the interior angle x - 15 are linear pairs.
Since, linear pairs add up to 180°, we have;
Substituting t = 28, we get;
Thus, the value of x is 112.