MCQ
Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the smaller angle is:
- A$45^\circ$
- B$30^\circ$
- ✓$36^\circ$
- DNone of these
✓
Answer
Correct option: C.
$36^\circ$
Let one angle be $\theta$
Then, its complementary $=90-\theta$
According to question,
$2\theta=3(90-\theta)$
$=5\theta=270$
$\theta=54^\circ$
Then, $90-\theta^\circ=36^\circ$
Hence, the smaller angle is $36^\circ .$
Then, its complementary $=90-\theta$
According to question,
$2\theta=3(90-\theta)$
$=5\theta=270$
$\theta=54^\circ$
Then, $90-\theta^\circ=36^\circ$
Hence, the smaller angle is $36^\circ .$
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