Let’s go through each problem one by one. We’re estimating or calculating angles based on the diagrams and given info.
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Problem 1:
The angle looks like it’s halfway between 0° and 90° — that’s about 45°.
→ Answer:
a. 45°
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Problem 2:
This is an obtuse angle, bigger than 90° but not flat (180°). Looks like around 120°.
→ Answer:
c. 120°
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Problem 3:
This is a right angle — one ray goes up, one goes right. That’s exactly 90°.
→ Answer:
d. 90°
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Problem 4:
Very narrow angle — much less than 90°. Looks like maybe 25°.
→ Answer:
a. 25°
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Problem 5:
One ray points down, one points up-right. The angle between them is more than 90°, looks like 105°.
(If you imagine from straight down to straight right is 90°, then adding a bit more toward up-right makes sense for 105°.)
→ Answer:
a. 105°
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Problem 6:
This is a straight line — two rays going opposite directions. That’s always 180°.
→ Answer:
a. 180°
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Problem 7:
We’re told one angle is 50°, and we need the adjacent angle on the same straight line.
Straight line = 180° → so ? = 180° - 50° =
130°
→ Answer:
c. 130°
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Problem 8:
We have a right angle (90°) split into two parts: one is 75°, the other is ?.
So ? = 90° - 75° =
15°
→ Answer:
c. 15°
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Problem 9:
We’re told the big angle is 165°, and there’s a small unknown angle next to it forming a straight line? Wait — actually, looking at the diagram description: one ray points down, one points up, and one points up-right. The 165° is likely the reflex or large angle between down and up-right. But if we assume the vertical line is 180° total (up to down), and the angle between down and up-right is 165°, then the small angle between up and up-right is:
180° - 165° =
15°
→ Answer:
b. 15°
*(Note: If the 165° is measured from downward ray to the slanted ray, then the remaining to upward ray is 15°.)*
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Problem 10:
Right angle (90°) split into two parts: one is 30°, the other is ?.
So ? = 90° - 30° =
60°
→ Answer:
c. 60°
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Final Answer:
1. a
2. c
3. d
4. a
5. a
6. a
7. c
8. c
9. b
10. c
Parent Tip: Review the logic above to help your child master the concept of angles worksheets.
