9514 1404 393
Answer:
- 15°
- 22°
- 143°
Explanation:
Let x represent the measure of the first angle. Then the second is x+7, and the third is 10x-7.
The sum of the three angles of the triangle is 180°, so we have ...
x +(x +7) +(10x -7) = 180
12x = 180 . . . . . . . . . . . . . . . collect terms
x = 15 . . . . . . . . . divide by 12 (first angle)
x +7 = 22 . . . . . .second angle
10x -7 = 150 -7 = 143 . . . . . third angle
The three angles are 15°, 22°, and 143°.