Easy
1) Find the Supplementary Angle for 15 degrees
X+ 15= 180
-15 -15
X= 165, so the Supplementary Angle of 15 degrees is 165 degrees
2) Find the Complementary angle for 86 degrees
X+ 86= 90
-86 -86
X=4, so the Complementary angle for 86 degrees is 4 degrees.
3) Find the Supplementary angle for 98 degrees
Medium
1: Find the complementary angle for 286 degrees.
First set up the equation x+16=90
the solve the equation by subtracting 16 from each side. 90-16=74
2: Find the supplementary angle for pi
2
First we set up our equation x+pi=pi
1 2 1
Then we subtract pi over two from both sides. But first we need them to have a common denominator so we multiply pi by 2 to get the equation x+pi=2pi now we can
1 2 2
Subtract pi from 2pi to get pi this is our supplementary
2 2 2
angle.
3:Find the supplementary angle for 4 degrees.
1) Find the Supplementary Angle for 15 degrees
X+ 15= 180
-15 -15
X= 165, so the Supplementary Angle of 15 degrees is 165 degrees
2) Find the Complementary angle for 86 degrees
X+ 86= 90
-86 -86
X=4, so the Complementary angle for 86 degrees is 4 degrees.
3) Find the Supplementary angle for 98 degrees
Medium
1: Find the complementary angle for 286 degrees.
First set up the equation x+16=90
the solve the equation by subtracting 16 from each side. 90-16=74
2: Find the supplementary angle for pi
2
First we set up our equation x+pi=pi
1 2 1
Then we subtract pi over two from both sides. But first we need them to have a common denominator so we multiply pi by 2 to get the equation x+pi=2pi now we can
1 2 2
Subtract pi from 2pi to get pi this is our supplementary
2 2 2
angle.
3:Find the supplementary angle for 4 degrees.
Hard
1: Find the complementarty angle for pi
4
First we set up our equation x+ pi=pi
4 2
To subtract pi from both sides we need to have a
4
common denominator of 4. We get this by multiplying the numerator and denominator of pi by 2.
2
Now our equation is x+pi=2pi
4 4
We then subtract to get pi
4
This is the complementary angle.
2: Find the supplementary angle for pi
16
First set up the equation to = pi
1
x+pi=pi
16 1
Then make a common denominator by multiplying 16 to the other side of the = sign.
Now we have x+pi=16pi
16 16
Next pi needs to be subrtracted from both sides.
16
This gives us x=15pi as the supplementaryangle.
16
3. Find the complementary and supplementary angle of
11pi
6
Word Problem!
On a Ferris Wheel you and your friend have moves 25 degrees. How many degrees before you're at a 90 degree angle?
1: Find the complementarty angle for pi
4
First we set up our equation x+ pi=pi
4 2
To subtract pi from both sides we need to have a
4
common denominator of 4. We get this by multiplying the numerator and denominator of pi by 2.
2
Now our equation is x+pi=2pi
4 4
We then subtract to get pi
4
This is the complementary angle.
2: Find the supplementary angle for pi
16
First set up the equation to = pi
1
x+pi=pi
16 1
Then make a common denominator by multiplying 16 to the other side of the = sign.
Now we have x+pi=16pi
16 16
Next pi needs to be subrtracted from both sides.
16
This gives us x=15pi as the supplementaryangle.
16
3. Find the complementary and supplementary angle of
11pi
6
Word Problem!
On a Ferris Wheel you and your friend have moves 25 degrees. How many degrees before you're at a 90 degree angle?
