Respuesta :

gustanika
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°

The value of the angles based on the information given are 5° and 85°.

Let the value of the first angle be x

Let the value of the second angle be y

Based on the information given, y = 17x

The sum of complementary angles equal to 90°.

Therefore, x + 17x = 90°

18x = 90°

x = 90°/18

x = 5°

Therefore, the bigger angle will be:

= 17x

= 17 × 5

= 85°

The value of the angles are 5° and 85°.

Read related link on:

https://brainly.com/question/6071268

Otras preguntas