Question

an angle is 50° less than 4 time of its supplement. find the angles.​

Answer 1

Answer:

Let’s say that the smaller angle is ‘x’ and the bigger angle is ‘y’. Now we can create 2 equations. The first one is: x+y=180 degrees. This is since supplementary angles add up to 180 degrees. The 2nd equation is y = 4x+50. This is since the bigger angle is 4 times the smaller angle plus 50 degrees. Once you have these 2 equations you can rearrange them and subtract to get 5x-130=0. After you solve this you can find that x=26 degrees. Subtract ‘x’ from 180 to get ‘y’ and you get 154 degrees.