The angles are 60°, 55°, and 65°.
- Let the triangle be named ΔABC.
- Let the angle ∠A be "x".
- Then, the angle ∠B is equal to ∠A + 5°.
- The angle ∠B is equal to x + 5°.
- The angle ∠C is equal to ∠A + 10°.
- The angle ∠C is equal to x + 10°.
- The angle ∠C is equal to x + 10°.
- Using the angle sum property of a triangle, we know that the sum of all the angles in a triangle is equal to 180°.
- ∠A + ∠B + ∠C = 180°
- (x) + (x + 5°) + (x + 10°) = 180°
- 3x + 15° = 180°
- 3x = 165°
- x = 55°
- The angle ∠A is equal to 55°.
- The angle ∠B is equal to 55° + 5° = 60°.
- The angle ∠C is equal to 55° + 10° = 65°.
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