MCQ
Two complementary angles are such that twice the measure of the one is equal to three times the measure of the other. The larger of the two measures.
- A$72^\circ$
- B$36^\circ$
- ✓$54^\circ$
- D$63^\circ$
✓
Answer
Correct option: C.
$54^\circ$
Let the measure of the required angle be $x^\circ$
Then, the measure of its complement will be $(90 - x)^\circ$
Therefore, $2x = 3 (90 - x)$
$\Rightarrow 2x = 270 - 3x$
$\Rightarrow 5x = 270$
$\Rightarrow x = 54^\circ .$
Then, the measure of its complement will be $(90 - x)^\circ$
Therefore, $2x = 3 (90 - x)$
$\Rightarrow 2x = 270 - 3x$
$\Rightarrow 5x = 270$
$\Rightarrow x = 54^\circ .$
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