A side of the triangle below has been extended to form an exterior angle of 144°. Find the value of xx. 144° x°
To find the value of x, we first need to use the fact that the sum of the interior angles of a triangle is always 180°.
Since the exterior angle is 144°, we can subtract this from 180° to find the sum of the other two interior angles:
180° - 144° = 36°
Now, since the triangle is isosceles (two sides are equal), these two interior angles must also be equal. So we can divide 36° by 2 to find the measure of each of these angles:
36° / 2 = 18°
Therefore, each of the interior angles of the triangle is 18°, which means that x = 18°.