Find the complementary angle of each of the following angles:
`(1)/(4) " of " 124^(@)`

Answer

To find the complementary angle of the given angle \( \frac{1}{4} \) of \( 124^\circ \), we will follow these steps:

### Step 1: Calculate \( \frac{1}{4} \) of \( 124^\circ \)
To find \( \frac{1}{4} \) of \( 124^\circ \), we multiply \( 124 \) by \( \frac{1}{4} \).

\[ \frac{1}{4} \times 124 = \frac{124}{4} \]

### Step 2: Perform the division
Now, we divide \( 124 \) by \( 4 \):

\[ 124 \div 4 = 31 \]

So, \( \frac{1}{4} \) of \( 124^\circ \) is \( 31^\circ \).

### Step 3: Find the complementary angle
Complementary angles are two angles whose sum is \( 90^\circ \). To find the complementary angle of \( 31^\circ \), we subtract \( 31^\circ \) from \( 90^\circ \):

\[ 90^\circ - 31^\circ = 59^\circ \]

### Final Answer
The complementary angle of \( \frac{1}{4} \) of \( 124^\circ \) is \( 59^\circ \).

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