The measures, in degrees, of the three angles are x, x+10, and 2x-6. Find the measure of all three angles of the triangle.

Answer 1

The interior angles of a triangle always add up to 180°

x + x + 10° + 2 x - 6° = 180°

4 x + 4° = 180° Subtract 4° to both sides

4 x + 4° - 4° = 180° - 4°

4 x = 176° Divide both sides by 4

4 x / 4 = 176° / 4

x = 44°

Angles :

x = 44°

x + 10° = 44° + 10° = 54°

2 x - 6° = 2 * 44° - 6° = 88° - 6° = 82°