A side of the triangle below has been extended to form an exterior angle of 126°. Find the value of xx.
126°
In a triangle, the sum of the interior angles is always 180°. Therefore, the interior angle adjacent to the given exterior angle is:
180° - 126° = 54°
Since the exterior angle forms a linear pair with the interior angle, the sum of the exterior angle and the interior angle is 180°. Therefore, the unknown interior angle is:
180° - 126° = 54°
Since all angles in a triangle add up to 180°, the unknown angle is:
180° - 54° - 54° = 72°
Therefore, the value of xx is 72°.
A side of the triangle below has been extended to form an exterior angle of 131°. Find the value of xx.
131
In a triangle, the exterior angle is equal to the sum of the two remote interior angles. Therefore, we have:
131° = x + 75°
Solving for x:
x = 131° - 75°
x = 56°
Therefore, the value of xx is 56°.