Find the complementary angle of each of the following angles:
`(1)/(3) " of " 60^(@)`

Answer

To find the complementary angle of \( \frac{1}{3} \) of \( 60^\circ \), we will follow these steps:

### Step 1: Calculate \( \frac{1}{3} \) of \( 60^\circ \)
To find \( \frac{1}{3} \) of \( 60^\circ \), we multiply \( 60^\circ \) by \( \frac{1}{3} \).

\[ \frac{1}{3} \times 60^\circ = \frac{60}{3} = 20^\circ \]

### Step 2: Find the complementary angle
Complementary angles are two angles whose sum is \( 90^\circ \). To find the complementary angle of \( 20^\circ \), we subtract \( 20^\circ \) from \( 90^\circ \).

\[ 90^\circ - 20^\circ = 70^\circ \]

### Conclusion
The complementary angle of \( \frac{1}{3} \) of \( 60^\circ \) is \( 70^\circ \).

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