Answer:
If you mean the angle at X... 70°
Explanation:
- Angles on a straight line sum up to 180°
- 115° + Y = 180°
- Y = 180° - 115° = 65°
- Angles in a triangle sum up to 180°
- X + Y + Z = 180°
- (4k + 5)° + (6k + 10)° + 65° = 180°
- We turn everything into degrees
- 4k° + 5° + 6k° + 10° + 65° = 180°
- We then sum up the "like" terms (as in, we put all the k together, and put all the normal numbers together)
- 10k° + 80° = 180°
- 10k° = 180° - 80° = 100°
- k° = 100° ÷ 10 = 10°
- At X:
- 6k° + 10° = 6 × 10° + 10° = 60° + 10° = 70°