MCQ
Two complementary angles are such that twich the measure of the one is equal to three times the measure of the other. The larger of the two measure.
- A$72^\circ$
- ✓$54^\circ$
- C$63^\circ$
- D$36^\circ$
✓
Answer
Correct option: B.
$54^\circ$
Let the measure of each angle be $x^\circ$ and $(90 - x)^\circ$ .
According to the given condition,
$2x = 3(90 - x)$
$\Rightarrow 2x = 270 - 3x$
$\Rightarrow 5x = 270$
$\Rightarrow x = 54^\circ$
So $, (90 - x)^\circ = (90 - 54)^\circ = 36^\circ$
So, the larger of the two angles is $54^\circ $.
According to the given condition,
$2x = 3(90 - x)$
$\Rightarrow 2x = 270 - 3x$
$\Rightarrow 5x = 270$
$\Rightarrow x = 54^\circ$
So $, (90 - x)^\circ = (90 - 54)^\circ = 36^\circ$
So, the larger of the two angles is $54^\circ $.
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