If an exterior angle of a triangle is 111 degrees, and one of the opposite interior angles is twice the other, then find the three angles of the triangle. Show your work

Question

Another practice problem I’m stuck on, please help!

Answer 1

so we know all angles of a triangle must add up to 180 and one angle is double the other, so lets call the smaller angle x and the larger 2x:

x+2x+111=180, 3x=69, x=23 2x=46

so we have a triangle with angles 23°, 46°, 111°

Answer 2

Theorem;

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote angles.

111° = x° + 2xº

Can you solve for x and answer?