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 larger angle is
Correct Answer: |
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D) \( \Large 54 ^{\circ} \) |
Description for Correct answer:
Let complementary angles be \( \Large \theta \ and\ 90 ^{\circ} - \theta \)
Given: \( \Large 2 \theta = 3 \left(90 ^{\circ} - \theta \right) \)
=> \( \Large 2 \theta + 3 \theta = 270 ^{\circ} \)
=> \( \Large \theta = \frac{270}{5} = 54 ^{\circ} \)
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