Problem: Find the missing angle measurement in each set of complementary angles.
#### Key Concept:
Complementary angles are two angles whose measures add up to
90°. If one angle is given, the other angle can be found using the formula:
\[
\text{Missing Angle} = 90^\circ - \text{Given Angle}
\]
#### Solution:
We will solve each problem step by step.
---
1)
Given angle: \( 54.5^\circ \)
\[
\text{Missing Angle} = 90^\circ - 54.5^\circ = 35.5^\circ
\]
Answer: \( 35.5^\circ \)
---
2)
Given angle: \( 37.5^\circ \)
\[
\text{Missing Angle} = 90^\circ - 37.5^\circ = 52.5^\circ
\]
Answer: \( 52.5^\circ \)
---
3)
Given angle: \( 38.8^\circ \)
\[
\text{Missing Angle} = 90^\circ - 38.8^\circ = 51.2^\circ
\]
Answer: \( 51.2^\circ \)
---
4)
Given angle: \( 62.2^\circ \)
\[
\text{Missing Angle} = 90^\circ - 62.2^\circ = 27.8^\circ
\]
Answer: \( 27.8^\circ \)
---
5)
Given angle: \( 66.2^\circ \)
\[
\text{Missing Angle} = 90^\circ - 66.2^\circ = 23.8^\circ
\]
Answer: \( 23.8^\circ \)
---
6)
Given angle: \( 40.3^\circ \)
\[
\text{Missing Angle} = 90^\circ - 40.3^\circ = 49.7^\circ
\]
Answer: \( 49.7^\circ \)
---
7)
Given angle: \( 59.2^\circ \)
\[
\text{Missing Angle} = 90^\circ - 59.2^\circ = 30.8^\circ
\]
Answer: \( 30.8^\circ \)
---
8)
Given angle: \( 48.3^\circ \)
\[
\text{Missing Angle} = 90^\circ - 48.3^\circ = 41.7^\circ
\]
Answer: \( 41.7^\circ \)
---
9)
Given angle: \( 62.1^\circ \)
\[
\text{Missing Angle} = 90^\circ - 62.1^\circ = 27.9^\circ
\]
Answer: \( 27.9^\circ \)
---
10)
Given angle: \( 28.6^\circ \)
\[
\text{Missing Angle} = 90^\circ - 28.6^\circ = 61.4^\circ
\]
Answer: \( 61.4^\circ \)
---
11)
Given angle: \( 39.5^\circ \)
\[
\text{Missing Angle} = 90^\circ - 39.5^\circ = 50.5^\circ
\]
Answer: \( 50.5^\circ \)
---
12)
Given angle: \( 54.7^\circ \)
\[
\text{Missing Angle} = 90^\circ - 54.7^\circ = 35.3^\circ
\]
Answer: \( 35.3^\circ \)
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
1) & 35.5^\circ \\
2) & 52.5^\circ \\
3) & 51.2^\circ \\
4) & 27.8^\circ \\
5) & 23.8^\circ \\
6) & 49.7^\circ \\
7) & 30.8^\circ \\
8) & 41.7^\circ \\
9) & 27.9^\circ \\
10) & 61.4^\circ \\
11) & 50.5^\circ \\
12) & 35.3^\circ \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of angle worksheet 7th grade.
