Answer:
x=60°
x=48°
x=21°
Step-by-step explanation:
Inequalities
The sum of the exterior and the interior angle of a triangle is 180°.
The measure of an exterior angle of a triangle is called x, thus the interior angle is 180-x.
This angle is said to be at least twice x, thus:
180 - x ≥ 2x
Adding x:
180 ≥ 3x
Dividing by 3:
60 ≥ x
Swapping the inequality:
x ≤ 60°
The measure of x must be less or equal to 60°.
Three possible solutions are:
x=60°
x=48°
x=21°
