Problem Overview:
The task involves finding the value of angle \( A \) in each diagram, given that the angles are supplementary. Supplementary angles are two angles whose measures add up to \( 180^\circ \). Therefore, if one angle is known, the other can be calculated using the formula:
\[
A = 180^\circ - \text{(given angle)}
\]
We will solve each problem step by step.
---
Solution for Each Problem:
####
1.
- Given angle: \( 60^\circ \)
- Calculation:
\[
A = 180^\circ - 60^\circ = 120^\circ
\]
- Answer: \( 120^\circ \)
####
2.
- Given angle: \( 150^\circ \)
- Calculation:
\[
A = 180^\circ - 150^\circ = 30^\circ
\]
- Answer: \( 30^\circ \)
####
3.
- Given angle: \( 141^\circ \)
- Calculation:
\[
A = 180^\circ - 141^\circ = 39^\circ
\]
- Answer: \( 39^\circ \)
####
4.
- Given angle: \( 72^\circ \)
- Calculation:
\[
A = 180^\circ - 72^\circ = 108^\circ
\]
- Answer: \( 108^\circ \)
####
5.
- Given angle: \( 153^\circ \)
- Calculation:
\[
A = 180^\circ - 153^\circ = 27^\circ
\]
- Answer: \( 27^\circ \)
####
6.
- Given angle: \( 45^\circ \)
- Calculation:
\[
A = 180^\circ - 45^\circ = 135^\circ
\]
- Answer: \( 135^\circ \)
####
7.
- Given angle: \( 50^\circ \)
- Calculation:
\[
A = 180^\circ - 50^\circ = 130^\circ
\]
- Answer: \( 130^\circ \)
####
8.
- Given angle: \( 100^\circ \)
- Calculation:
\[
A = 180^\circ - 100^\circ = 80^\circ
\]
- Answer: \( 80^\circ \)
####
9.
- Given angle: \( 158^\circ \)
- Calculation:
\[
A = 180^\circ - 158^\circ = 22^\circ
\]
- Answer: \( 22^\circ \)
####
10.
- Given angle: \( 98^\circ \)
- Calculation:
\[
A = 180^\circ - 98^\circ = 82^\circ
\]
- Answer: \( 82^\circ \)
---
Final Answers:
\[
\boxed{120^\circ, 30^\circ, 39^\circ, 108^\circ, 27^\circ, 135^\circ, 130^\circ, 80^\circ, 22^\circ, 82^\circ}
\]
Parent Tip: Review the logic above to help your child master the concept of 7th grade angles worksheet.