Finding Missing Interior and Exterior Angles of Triangles #1 ... - Free Printable

I'll solve each problem step by step, finding the missing angles using triangle angle properties.

Problem 1:
Triangle with angles: 65°, P°, and P° (two equal angles)
- Sum of interior angles = 180°
- 65° + P° + P° = 180°
- 65° + 2P° = 180°
- 2P° = 180° - 65° = 115°
- P° = 115° ÷ 2 = 57.5°

Problem 2:
Triangle with angles: V°, 113°, and 41°
- Sum of interior angles = 180°
- V° + 113° + 41° = 180°
- V° + 154° = 180°
- V° = 180° - 154° = 26°

Problem 3:
Right triangle with angles: 49°, W°, and 90° (right angle marked)
- Sum of interior angles = 180°
- 49° + W° + 90° = 180°
- W° + 139° = 180°
- W° = 180° - 139° = 41°

Problem 4:
Right triangle with angles: 62°, Y°, and 90° (right angle marked)
- Sum of interior angles = 180°
- 62° + Y° + 90° = 180°
- Y° + 152° = 180°
- Y° = 180° - 152° = 28°

Problem 5:
Triangle with angles: K°, 66.2°, and 66.2°
- Sum of interior angles = 180°
- K° + 66.2° + 66.2° = 180°
- K° + 132.4° = 180°
- K° = 180° - 132.4° = 47.6°

Problem 6:
Triangle with angles: G°, 59.7°, and 40°
- Sum of interior angles = 180°
- G° + 59.7° + 40° = 180°
- G° + 99.7° = 180°
- G° = 180° - 99.7° = 80.3°

Final Answer:
1. m∠P = 57.5°
2. m∠V = 26°
3. m∠W = 41°
4. m∠Y = 28°
5. m∠K = 47.6°
6. m∠G = 80.3°