SOLUTION: W angle is 30o more than its complement. b. Three times an angle is 12o less than its supplement.rite an equation for each statement. a. Twice an i don't understand how to

Question 311163: W angle is 30o more than its complement.
b. Three times an angle is 12o less than its supplement.rite an equation for each statement.
a. Twice an
i don't understand how to write the equation at all.
Found 2 solutions by checkley77, MathTherapy:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
a. Twice an angle is 30o more than its complement.
2x=(90-2x)+30
2x=90-2x+30
2x+2x=90+30
4x=120
x=120/4
x=30 is the smaller angle.
2*30=(90-2*30)+30
60=90-60+30
60=120-60
60=60
b. Three times an angle is 12o less than its supplement.
3x=(180-3x)-12
3x=180-3x-12
3x+3x=180-12
6x=168
x=168/6=28 ans. for the smaller angle.
3*28=189-3*28-12
84=180-84-12
84=180-96
84=84
Answer by MathTherapy(10858) (Show Source): You can put this solution on YOUR website!
Write an equation for each statement.
a. Twice an angle is 30o more than its complement.
b. Three times an angle is 12o less than its supplement.
i don't understand how to write the equation at all.

a. Twice an angle is 30o more than its complement.

Let the angle be A
Then its complement is 90 - A

Since twice the angle is more than its complement, then we'll have:

2A = (90 - A) + 30

2A = 90 - A + 30

3A = 120

Then A, or the angle is: = degrees, and its complement is 90 - 40, or degrees.
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b. Three times an angle is 12o less than its supplement.
Let the angle be A
Then its supplement is 180 - A

Since three times the angle is less than its supplement, then we'll have:

3A = (180 - A) - 12

3A = 180 - A - 12

4A = 168

Then A, or the angle is: = degrees, and its supplement is 180 - 42, or degrees.
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