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The measures of two complementary angles are in the ratio 4:1. What is the measure of the smaller angle?

Answer 1

Aaliyah Anderson

The measure of the smaller angle is 18 degrees

Complementary = 90 degrees

Let's say there are 5 parts of the complementary angles, to solve for one part: #90/5=18#

Then we can multiply 18 by 1 and 4 to find the two complementary angles.

#18*1=18#

#18*4=72#

The smaller angle is 18 degrees.

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Answer 2

Caroline Aucoin

#18^@#

#"Complementary angles sum to "90^@#

#"sum the parts of the ratio "4+1=5#

#90^@/5=18^@larrcolor(blue)"1 part"#

#4xx18^@=72^@larrcolor(blue)"4 parts"#

#"the 2 complementary angles are"#

#18^@" and "72^@#

#18^@" is the smaller angle"#

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Answer 3

Caroline Aucoin

To find the measure of the smaller angle, you need to divide the total sum of the measures of the two complementary angles by the ratio of 4:1.

Let x represent the measure of the smaller angle. Then the larger angle would be 4x, since the ratio is 4:1.

Since the angles are complementary, their sum equals 90 degrees.

So, x + 4x = 90.

Combining like terms, you get 5x = 90.

Divide both sides by 5 to solve for x:

x = 90/5 = 18.

Thus, the measure of the smaller angle is 18 degrees.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.