Question

The complementary angles are in the ratio 1 : 5. Find the measures of the angles :

• A. 15, 75
• B. 75, 15
• C. 12, 60
• D. 60, 12

Answer 1

The correct option is A 15, 75

Let the angles be $x$ and $5x$

Angles are complementary then their sum is ${90}^{\circ }$

$\Rightarrow x+5x={90}^{\circ }\Rightarrow 6x={90}^{\circ }\Rightarrow x={15}^{\circ }$

So the angles are

$1\times {15}^{\circ }={15}^{\circ }5\times {15}^{\circ }={75}^{\circ }$