cogger4402 cogger4402
  • 03-11-2017
  • Mathematics
contestada

The difference of the measures of two supplementary angles is 30°. find the measure of each angle.

Respuesta :

barnuts
barnuts barnuts
  • 13-11-2017

Supplementary angles are angles which have a sum equal to 180 degrees. Let us say that the angles are x and y therefore:

x + y = 180

 

Assuming that x is the larger angle, so the difference is:

x – y = 30

 

Combining the two equations:

x + y + x – y = 180 + 30

2 x = 210

x = 105 degrees

 

 y = 75 degrees

 

The two angles are 105° and 75°

Answer Link

Otras preguntas

The constitution created a federal system in the United States. Which of the following best describes the federal government?
The Indo-European languages like Spanish, English, Hindi, and Russian sprang from the Proto-Indo-European language root. true or false
Which BEST describes a social consequence of teenage pregnancy? a. financial burdens b. loss of friendships c. diminished self-esteem d. decreased physical
Ground water contains what?
Consider the function represented by the equation 6c = 2p – 10. Write the equation in function notation, where c is the independent variable.
Foods labeled "fat free" can actually contain less than 0.5 grams of fat.True or false?
What best describes a grizzly bears habitat ?
Choose the correct pronoun. It was she was elected to choir office.
can't be brothers. help please
Please help! Not very good in word problems.