An angle measures 15 degrees more than its complement. Find the measure if the two angles?

Question

one more...

One of the two supplementary angles measures 30 degrees more than twice the other. what is the measure of each angle?

thank you sooo much for your help (:

Answer 1

complement means they add up to 90

x + x+15 = 90

2x + 15 = 90

2x = 90-15 = 75

x = 75/2 = 37.5 so

x+15 = 37.5+15 = 52.5

supplementary means add up to 180

x  +(2x+30)  = 180

3x+30 = 180

3x = 180-30 = 150

3x = 150

x=150/3 = 50

so 2x+30 = 2*50+30 = 130

Answer 2

complement=90 deg.

supplement = 180 deg.

im not doing the work FOR you, but that will help.

Answer 3

1. complementary angles are those that add up to 90 degrees.

first divide 90 by two to give you 45 and 45

then add 15 to one of the 45's and subtract 15 ti the other to get

60 and 30...and those are your answers

2. supplementary angles add up to 180 degrees.

let the smaller one be x

and the other one twice the smaller one plus 30 i.e 2x+30

x+(2x+30)=180

x+2x+30=180

3x+30=180

3x=180-30

3x=150

x=50

the smaller angle(x) is 50 degrees

and the bigger angle (2x+30) is 100+30=130

Answer 4

Let x be the angle in question. Since the angles are complementary, their sum is 90 degrees,

           x+(2x+30)=90

               3x+30=90

                  3x=60

                     x=20, so 2x+30=70