Question

one of the Interior angles of a triangle is equal to 30 degrees and one of the exterior angles is equal to 40 degrees find the remaining interior angles of this triangle

Answer 1

Remaining interior angles are 10 degree and 140 degree

Explanation:

One of the exterior angles is equal to 40

Angles in a straight line is 180 degree.

The interior angle adjacent to the exterior angle is 180-40=140

Given: one of the Interior angles of a triangle is equal to 30 degrees

So two interior angles are 30 and 140 degrees

Sum of angles in a triangle is 180 degree

To find the remaining interior angle we subtract the two interior angles from 180 degree

`180-30-140 = 10`

Remaining interior angles are 10 degree and 140 degree