contestada

Two angles are complementary. If one angle is 4 times larger than other one then what is the measure of the smaller
angle?

Respuesta :

parkchimjimine

Answer:

The smaller angle is 18 degrees

The larger angle is 72 degrees

Step-by-step explanation:

x = smaller angle

y = larger angle

y = 4x ---> one angle is 4 times larger than other one.

y + x = 90 ----> the sum of complementary angles is 90 degrees

4x + x = 90 ----> plug in 4x for the larger angle (y) and then solve

5x = 90

x = 18 ----> the smaller angle is 18 degrees

y = 90 - 18

y = 72 ----> the larger angle is 72 degrees

varshamittal029

The smaller angle is 18.

What is the complementary angle?

The complementary angle is the angle that adds up to 90 degrees always, so when we say that two angles are complementary it means that the sum of the angle or the combined angle is equal to ninety degrees.

The solution to the problem

The larger angle is 4 times the smaller angle so let the smaller angle be 'x' and the larger angle be 4x.

Hence the sum of both the angle is 90 degrees from the definition of complementary

so 4x+x=90, 5x = 90

dividing the equation by 5

x = 18

Hence the smaller angle is 18 degrees

Learn more about complementary angles here

https://brainly.com/question/27877139

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