Math worksheet for finding complementary angles, with 12 problems showing angles and their complements.

Problem Overview:

The task is to find the value of angle \( A \) in each set of complementary angles. Complementary angles are two angles whose measures add up to \( 90^\circ \). Therefore, if one angle is given, the other angle can be found using the formula:

\[
A = 90^\circ - \text{(given angle)}
\]

Solution:

We will solve for each problem step by step.

---

#### 1) Given angle: \( 30^\circ \)
\[
A = 90^\circ - 30^\circ = 60^\circ
\]

#### 2) Given angle: \( 32^\circ \)
\[
A = 90^\circ - 32^\circ = 58^\circ
\]

#### 3) Given angle: \( 42^\circ \)
\[
A = 90^\circ - 42^\circ = 48^\circ
\]

#### 4) Given angle: \( 56^\circ \)
\[
A = 90^\circ - 56^\circ = 34^\circ
\]

#### 5) Given angle: \( 27^\circ \)
\[
A = 90^\circ - 27^\circ = 63^\circ
\]

#### 6) Given angle: \( 55^\circ \)
\[
A = 90^\circ - 55^\circ = 35^\circ
\]

#### 7) Given angle: \( 33^\circ \)
\[
A = 90^\circ - 33^\circ = 57^\circ
\]

#### 8) Given angle: \( 31^\circ \)
\[
A = 90^\circ - 31^\circ = 59^\circ
\]

#### 9) Given angle: \( 51^\circ \)
\[
A = 90^\circ - 51^\circ = 39^\circ
\]

#### 10) Given angle: \( 67^\circ \)
\[
A = 90^\circ - 67^\circ = 23^\circ
\]

#### 11) Given angle: \( 63^\circ \)
\[
A = 90^\circ - 63^\circ = 27^\circ
\]

#### 12) Given angle: \( 70^\circ \)
\[
A = 90^\circ - 70^\circ = 20^\circ
\]

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 60^\circ \\
2. & 58^\circ \\
3. & 48^\circ \\
4. & 34^\circ \\
5. & 63^\circ \\
6. & 35^\circ \\
7. & 57^\circ \\
8. & 59^\circ \\
9. & 39^\circ \\
10. & 23^\circ \\
11. & 27^\circ \\
12. & 20^\circ \\
\end{array}
}
\]