Question

If two complementary angles are in the ratio 2:3, then the angles are

(a) 58°, 32° (b) 50°, 40°

(C) 56°, 34° (d) 36°, 54°
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Answer 1

Answer:

so the answer is (d) = 36° , 54°

Step-by-step explanation:

complementary angle : 90

2x + 3x = 5x

5x = 90

now 2x ,

2/5 = 90

2 × 18 = 36

now 3x ,

3/5 =90

3× 18 = 54

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Answer 2

Complementary Angles

Two angles are said to be complementary angles if the sum of their measures is equal to 90 degree.

Now, Let's move on finding the solution for our question.

Let,

• The unknown angle be $'x'$
• The ratio would be = $\sf{2x}$ and $\sf{3x}---(1)$

We know that,

The sum of two complementary angles are 90°.

Substituting the values, we get,

$\implies\sf{2x\:+\:3x\:=\:90°}$

$\implies\sf{5x\:=\:90°}$

$\implies\sf{x\:=\:{\dfrac{90}{5}}}$

$\implies\sf{x\:=\:18°}$

Substituting x value in (1), we get,

$\implies\sf{2x\:=\:2\:\times\:18\:=\:36°}$

$\implies\sf{3x\:=\:3\:\times\:18\:=\:54°}$

Hence, option (d) is the correct answer.