Question

List the measure of the three angles of the triangle

50°, (2x - 10)°, and (3x + 15)°
The measures of the three angles of the triangle are
°, and

Answer 1

The measures of the three angles of the triangle are 50°, 90°, and 90°.

Step-by-step explanation:

The sum of the three angles in a triangle is always 180 degrees. Therefore, we can set up an equation to find the measure of the three angles:

1. 50° + (2x - 10)° + (3x + 15)° = 180°
2. 50° + 2x - 10° + 3x + 15° = 180°
3. 5x + 55° = 180°
4. 5x = 125°
5. x = 25°

Substituting x back into the angles:

1. 50° + (2 * 25° - 10)° = 50° + 40° = 90°
2. (3 * 25° + 15)° = 75° + 15° = 90°

Therefore, the measures of the three angles of the triangle are 50°, 90°, and 90°.

Learn more about triangle angles