Question

Two complementary angle are in the ratio 3:2. the number of degrees in the smaller angle is

Answer 1

Explanation:

Let the two complementary angles be 3x degrees and 2x degrees, where x is a positive real number.

Complementary angles add up to 90 degrees since they form a right angle.

So, we can write the equation:

3x + 2x = 90

Combining like terms:

5x = 90

Now, solve for x by dividing both sides by 5:

5x/5 = 90/5

x = 18

Now that we have found the value of x, we can find the measure of the smaller angle (2x):

2x = 2 * 18 = 36 degrees

So, the smaller angle is 36 degrees.