find the measures of the interior angles.. (triangle)

110-x , 3x-10, 2x
write equation too .

1 answer

The angles of a triangle always sum to 180°

So:

110° - x + 3x - 10° + 2x = 180°

-x + 3x + 2x = 180° - 110° + 10°

4x = 80° Divide both sides with 4

x = 20°

First angle = 110° - 20° = 90°

Second angle =3 20° - 10° = 60° - 10° = 50°

Third angle = 2 20° = 40°