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An angle is 10° more than one third of its complement. Find the greater angle.
- A30°
- B60°
- C45°
- D75°
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CCommunity
Sum of complementary angles is 90°
Let the angles be x and y
⇒ x + y = 90 ---- (1)
An angle is 10° more than one third of its complement,
⇒ x = 10 + y/3 ---- (2)
From equation (1) and (2),
⇒ x = 30 and y = 60
∴ Greater angle is 60°
Let the angles be x and y
⇒ x + y = 90 ---- (1)
An angle is 10° more than one third of its complement,
⇒ x = 10 + y/3 ---- (2)
From equation (1) and (2),
⇒ x = 30 and y = 60
∴ Greater angle is 60°