Two complemntary angles are in the ratio 2 : 3. The measure of the larger angle is
(a) 60°
(b) 54°
(c) 66°
(d) 48°

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Solution

Let the angles be 2x and 3x.
Now, 2x + 3x = 90^∘
⇒ 5x = 90^∘
⇒ x = 18^∘
∴ Larger angle = 3x = 3 × 18^∘ = 54^∘
Hence, the correct answer is option (b).

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Two complemntary angles are in the ratio 2 : 3. The measure of the larger angle is (a) 60° (b) 54° (c) 66° (d) 48°

Let the angles be 2x and 3x. Now, 2x + 3x = 90∘ ⇒ 5x = 90∘ ⇒ x = 18∘ ∴ Larger angle = 3x = 3 × 18∘ = 54∘ Hence, the correct answer is option (b).

Two complemntary angles are in the ratio 2 : 3. The measure of the larger angle is
(a) 60°
(b) 54°
(c) 66°
(d) 48°

Let the angles be 2x and 3x.
Now, 2x + 3x = 90^∘
⇒ 5x = 90^∘
⇒ x = 18^∘
∴ Larger angle = 3x = 3 × 18^∘ = 54^∘
Hence, the correct answer is option (b).