The measure of an angle is 17 times the measure of its complementary angle what is the measure of each angle

First, write an equation system for the problem

For example, x represents the first angle and y represents the second angle

An equation for "the measure of an angle is seventeen times the measure of a complementary angle" is

∴ x = 17y

The sum of complementary angle is 90°. It can be written as

∴ x + y = 90°

Second, use subtitution method to find the value of x and y

Subtitute x with 17y

x + y = 90°

17y + y = 90°

18y = 90°

y = 90°/18

y = 5°

Subtitute y with 5°

x = 17y

x = 17(5)

x = 85°

The measure of each angle is 5° and 85°

24 units

step-by-step explanation:

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