Question

Find the measures of the interior angles of a triangle whose two exterior angles equal to 120° and 150°

Answer 1

Answer: 30 degrees, 60 degrees and 90 degrees

If one exterior angle is 120, then its interior counterpart is 180-120 = 60.

If another exterior angle is 150, then is interior counterpart is 180-150 = 30

Let x be the missing interior angle. It adds with the other interior angles and all three interior angles of any triangle always add to 180

x+60+30 = 180

x+90 = 180

x+90-90 = 180-90 .... subtract 90 from both sides

x = 90

So the missing interior angle is 90 degrees

Answer 2

30 60 and 90 is your answer