lupitasalas53031 lupitasalas53031
  • 19-04-2020
  • Mathematics
contestada

Find the measure of an angle whose supplement is sixteen times its complement. Hint: Supplement and complement of an angle are (180-0) and (90-0) respectively.

Respuesta :

walber000 walber000
  • 20-04-2020

Answer:

The angle is 84 degrees

Step-by-step explanation:

Let's call the angle by 'x'.

the supplement of x is equal to 180-x, and the complement of x is equal to 90-x.

If the supplement is sixteen times the complement, we can write the following equation:

(180 - x) = 16 * (90 - x)

180 - x = 1440 - 16x

16x - x = 1440 - 180

15x = 1260

x = 84

The angle is 84 degrees.

Answer Link
TheLazyNobita
TheLazyNobita TheLazyNobita
  • 04-06-2020

Answer:

84⁰

Step-by-step explanation:

Complement = 90 - x

Supplement = 180 - x

Given:

180 - x = 16(90 - x)

180 - x = 1440 - 16x

15x = 1260

x = 84

Answer Link

Otras preguntas

Which organelles is used to transport materials through the cell
What improvements did the US make within the nation?
Plzzzzz help anyone
What is the slope of the line? A. 1 B. 0 C. -1 D. undefined
According to the seattle longitudinal study, the five primary mental abilities _____ around age 60.
Which of the following best summarizes the theme of "Ozymandias"? The death of a parent is extremely painful. Eternity is a long time. All human endeavo
Who was the author of how the otherhalf lives
9) The strife in "Bleeding Kansas" was associated with a conflict between _____ and _____.
A meal consisting of a cheeseburger, large fries, and a chocolate shake provides a total of 1,120 kilocalories. forty-eight percent of the energy in the meal is
What is -37c on the Fahrenheit scale