Two complementary angles are in the ratio 2: 7, find the angles. - Vidyadip

Question

Two complementary angles are in the ratio $2: 7$, find the angles.

✓

Answer

Let the two complement angles be $2 x$ and $7 x$.
$
\begin{array}{ll}
\therefore 2 x+7 x=90^{\circ} \\
{\left[\because \text { the sum of two complement angles }=90^{\circ}\right]} \\
\Rightarrow 9 x=90^{\circ} \Rightarrow x=10^{\circ}
\end{array}
$
So, the angles are $2 \times 10^{\circ}=20^{\circ}$ and $7 \times 10^{\circ}=70^{\circ}$

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