joshuasparks1999 joshuasparks1999
  • 01-03-2018
  • Mathematics
contestada

3 times the complement of an angle is 30 more than the supplement of the original angle. What is the measure of the angle? 15° 30° 60° 90°

Respuesta :

carlosego
carlosego carlosego
  • 11-03-2018
1. By definition, the sum of the Suplementary angles is 180° and the sum of the Complementary angles is 90°. Keeping this on mind, you have:

 90-x (The complement of the angle)
 180-x (The sumplement of the angle)

 "x" is the angle that you want to calculate.

 2. Then, you have:

 3(90-x)+30=180-x
 (270-3x)+30=180-x
 300-3x=180-x
 300-180=-x+3x
 120=2x
 120/2=x
 x=60°

 What is the measure of the angle?
 

 The answer is: The measure of the angle is 60°.
Answer Link

Otras preguntas

One major difference between the federal and state lawmaking processes is that states: A. can make laws that ignore the Constitution. B. can have a new law app
Please help ASAP I am so confused
PLZ HELP What is the term "sitcom" short for? A. sitting comedy B. sit through comedy C. situational episode D. situational comedy
Name five human features​
The study of human culture and how it develops over time is called A. anthropology B. archaeology C. paleontology
The area of Mr. Rogers’ field is 3 ⅓ square miles. If the width of the field is ⅔ of a mile, what is the length?
Rule by shared ownership of government and goodsa. socialismb. communismc. matriarchy d. direct democracy ​
Explain how you can use a model to find 6 x 17
4. Why isn't it realistic to market a new product using promoted tweets?
What happens at the end of nothing but the truth by avi