Asked by Bella
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.
Answers
Answered by
Bosnian
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°
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°
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