Let's solve each of the problems step by step using the angle rules provided:
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1)
We have a right angle (90°) split into two parts: one is 70°, and the other is missing.
- A right angle = 90°
- One part = 70°
- So, missing angle = 90° − 70° =
20°
✔ Answer: 20°
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2)
We have a straight line with an angle of 40°. The rest of the angle on the straight line is missing.
- A straight line = 180°
- Given angle = 40°
- Missing angle = 180° − 40° =
140°
✔ Answer: 140°
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3)
This is a right triangle with one angle = 40°, and a right angle (90°). We need the third angle.
- Angles in a triangle = 180°
- Known angles: 90° + 40° = 130°
- Missing angle = 180° − 130° =
50°
✔ Answer: 50°
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4)
Triangle with two angles given: 35° and 35°
- Sum of angles in triangle = 180°
- 35° + 35° = 70°
- Missing angle = 180° − 70° =
110°
✔ Answer: 110°
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5)
Angles around a point add up to 360°. We are given:
- 55°
- 200°
- One missing angle
So,
- Total so far = 55° + 200° = 255°
- Missing angle = 360° − 255° =
105°
✔ Answer: 105°
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6)
We have intersecting lines forming angles. We are given:
- 33°
- 68°
- Need to find the missing angle between them.
But look carefully: these three angles are on a straight line (they form a straight angle).
Wait — actually, they are
adjacent angles forming a straight line.
So, total = 180°
Given:
- 33° + 68° = 101°
- Missing angle = 180° − 101° =
79°
✔ Answer: 79°
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✔ Final Answers:
1)
20°
2)
140°
3)
50°
4)
110°
5)
105°
6)
79°
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Let me know if you'd like a visual explanation or diagram breakdown!
Parent Tip: Review the logic above to help your child master the concept of calculating angles worksheet.
