Question
If two complementary angles are in the ratio 1 : 5, find them.
✓
Answer
Two complementary angles are in the ratio $=1: 5$
Let these angles be $x$ and $5 x$
$ \therefore x+5 x=90^{\circ} $
$ \Rightarrow 6 \mathrm{x}=90^{\circ} $
$ \Rightarrow x=\frac{90^{\circ}}{6}=15^{\circ} $
$\therefore$ Angles will be $15^{\circ}$ and $15^{\circ} \times 5=75^{\circ}$
Let these angles be $x$ and $5 x$
$ \therefore x+5 x=90^{\circ} $
$ \Rightarrow 6 \mathrm{x}=90^{\circ} $
$ \Rightarrow x=\frac{90^{\circ}}{6}=15^{\circ} $
$\therefore$ Angles will be $15^{\circ}$ and $15^{\circ} \times 5=75^{\circ}$
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