Answer: Let's call the first angle "x".
From the problem statement, we know that the second angle is two times the first, so:
Second angle = 2x
We also know that the third angle is 170° more than the second angle, so:
Third angle = Second angle + 170°
Third angle = 2x + 170°
We know that the sum of the three angles in a triangle is 180°, so we can set up an equation:
x + 2x + (2x + 170°) = 180°
Simplifying and solving for x:
5x + 170° = 180°
5x = 10°
x = 2°
So the first angle is 2°. Using this value, we can find the other two angles:
Second angle = 2x = 2(2°) = 4°
Third angle = 2x + 170° = 2(2°) + 170° = 174°
Therefore, the three angles in the triangle measure 2°, 4°, and 174°.
Explanation: