if you have a triangle with a angle of 37 and an angle of 42 what is the exterior angle of the last angle

Answer 1

To find the exterior angle of the last angle in a triangle, we first need to determine the measure of the last interior angle. The interior angles of a triangle sum up to 180 degrees.

1. Calculate the last interior angle: \[ \text{Last interior angle} = 180^\circ - (37^\circ + 42^\circ) \] \[ = 180^\circ - 79^\circ = 101^\circ \]

2. The exterior angle of a triangle is equal to the sum of the two opposite interior angles or can be calculated as: \[ \text{Exterior angle} = 180^\circ - \text{Interior angle} \]

For the last interior angle: \[ \text{Exterior angle} = 180^\circ - 101^\circ = 79^\circ \]

Thus, the exterior angle of the last angle is 79 degrees.