To solve the missing angles in each problem, we use the fact that the sum of angles on a straight line is always
180°. Let's go through each problem step by step.
---
Problem 1:
The given angle is
50°.
- The total angle on a straight line is
180°.
- The missing angle can be calculated as:
\[
180° - 50° = 130°
\]
Answer for Problem 1:
\[
\boxed{130°}
\]
---
Problem 2:
The given angle is
90°.
- The total angle on a straight line is
180°.
- The missing angle can be calculated as:
\[
180° - 90° = 90°
\]
Answer for Problem 2:
\[
\boxed{90°}
\]
---
Problem 3:
The given angle is
35°.
- The total angle on a straight line is
180°.
- The missing angle can be calculated as:
\[
180° - 35° = 145°
\]
Answer for Problem 3:
\[
\boxed{145°}
\]
---
Problem 4:
The given angle is
137°.
- The total angle on a straight line is
180°.
- The missing angle can be calculated as:
\[
180° - 137° = 43°
\]
Answer for Problem 4:
\[
\boxed{43°}
\]
---
Problem 5:
The given angle is
72°.
- The total angle on a straight line is
180°.
- The missing angle can be calculated as:
\[
180° - 72° = 108°
\]
Answer for Problem 5:
\[
\boxed{108°}
\]
---
Problem 6:
The given angles are
35° and
20°.
- These two angles are adjacent and form part of the straight line.
- First, add the given angles:
\[
35° + 20° = 55°
\]
- The total angle on a straight line is
180°.
- The missing angle can be calculated as:
\[
180° - 55° = 125°
\]
Answer for Problem 6:
\[
\boxed{125°}
\]
---
Problem 7:
The given angles are
90° and
67°.
- These two angles are adjacent and form part of the straight line.
- First, add the given angles:
\[
90° + 67° = 157°
\]
- The total angle on a straight line is
180°.
- The missing angle can be calculated as:
\[
180° - 157° = 23°
\]
Answer for Problem 7:
\[
\boxed{23°}
\]
---
Problem 8:
The given angles are
24°,
41°, and
35°.
- These three angles are adjacent and form part of the straight line.
- First, add the given angles:
\[
24° + 41° + 35° = 100°
\]
- The total angle on a straight line is
180°.
- The missing angle can be calculated as:
\[
180° - 100° = 80°
\]
Answer for Problem 8:
\[
\boxed{80°}
\]
---
Final Answers:
1. \(\boxed{130°}\)
2. \(\boxed{90°}\)
3. \(\boxed{145°}\)
4. \(\boxed{43°}\)
5. \(\boxed{108°}\)
6. \(\boxed{125°}\)
7. \(\boxed{23°}\)
8. \(\boxed{80°}\)
---
Boxed Final Answer:
\[
\boxed{130°, 90°, 145°, 43°, 108°, 125°, 23°, 80°}
\]
Parent Tip: Review the logic above to help your child master the concept of angles worksheet geometry.
