Question
An angle is equal to five times its complement. Determine its measure.
✓
Answer
Let the complement of the required angle measures $x^\circ$ .
Therefore, the required angle becomes $5x^\circ $.
Since, the angles are complementary.
Thus, their sum must be equal to $90^\circ $.
Or we can say that : $x + 5x = 90^\circ 6x = 90^\circ $ $\text{x}=\frac{90^\circ}{6}$ $x = 15^\circ $
Hence, the required angle becomes: $5x = 5(15^\circ ) = 75^\circ $.
Therefore, the required angle becomes $5x^\circ $.
Since, the angles are complementary.
Thus, their sum must be equal to $90^\circ $.
Or we can say that : $x + 5x = 90^\circ 6x = 90^\circ $ $\text{x}=\frac{90^\circ}{6}$ $x = 15^\circ $
Hence, the required angle becomes: $5x = 5(15^\circ ) = 75^\circ $.
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