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

What is the definition of memoir
Several reference to munich are made in the movie, what event are they referring to (you have to figure this out own your own)
Running with an acceleration of 3 m/min2 is speeding up 3 m/min for every meter traveled
Grandma Edith uses her big punch bowl at family gatherings. The bowl is half of a sphere, with a diameter of 30 cm. Her ladle is also half of a sphere, with a d
What are the 4 gospels in the bible
Can toothpaste burn your skin
find y on the triangle that has sides length of 7 and x
Fireworks change _____ into ______ and ________ energy.
when the solutions to each of the two equations below are graphed in the xy-coordinate plane, the graphs intersect at two places. Write the y-coordinates of the
When a calcium atom forms an ion, it loses two electrons. What is the electrical charge of the calcium ion? A. +1 B. -1 C. +2 D.