A side of the triangle below has been extended to form an exterior angle of 132°. Find the value of x.
To find the value of x, we need to use the fact that the sum of the measures of the angles of a triangle is 180°.
Since the exterior angle at x is formed by extending a side of the triangle, we know that the exterior angle is equal to the sum of the two remote interior angles.
Therefore, we can find the measure of angle x by subtracting the measure of the adjacent interior angle from 180°.
The adjacent interior angle is 132°.
180° - 132° = 48°
Therefore, the value of x is 48°.