if two complimentary angles are such that one angle is 3/2 times the other find the smaller among them
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Solution :
• Complementary angles add up to 90 degrees.
• Let's take the angles as 3x/2 + x , according to the question.
• 3x/2 + x/1 = 90°
• 3x+2x/2 = 90° ( LCM of 2 and 1 is 2 )
• 5x/2 = 90°
• x = 90 × 2/5 ( Shift 5/2 to the other side , it takes the reciprocal )
• x = 36°
• Other angle = 90-36° = 54°
Conclusion :
• The angles are 54 and 36 .
• Smaller angle is 36°
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Answer:
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