Question

Two complementary angles are in the ratio 3: 2. The number of degrees in the smaller angle is
A. 18 B. 36 C. 54 D. 72

Answer 1

Answer:

Option B is the correct answer

Step-by-step explanation:

Complimentary angles mean sum of angles is $90^{0}$

Let the smaller angle be $x$

Other angle is $90-x$

We have

Two complementary angles are in the ratio $3: 2$

$\frac{90-x}{x} =\frac{3}{2} \\\\180-2x=3x\\\\5x=180\\\\x=36$

Smaller angle is $36^0$

Option B is the correct answer