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Sagot :
Answer:
Angle L*; 67.5 degrees
Angle S*; 22.5 degrees
Step-by-step explanation:
Angle L is 3 times bigger than Angle S.
With this information, we can make an equation.
L=3S
Complementary angles add up to 90 degrees.
90 = 3S + S
90 = 4S
22.5
Angle S equals 22.5.
Because Angle L is 3 times bigger than Angle S, we multiply 22.5 by 3.
This gives us 67.5.
Angle L is 67.5 degrees
Angle S is 22.5 degrees
Now, in order to check our work, we add the two angles together.
67.5 + 22.5 = 90
Because they add up to 90 degrees, the complementary angles work with each other meaning that we are correct
*Angle L is the larger angle
**Angle S is the smaller angle
So the meaning of two angles being complimentary simply means that the two angles add up to 90 degrees. Lets call the two angles x and y where x is the smaller angle.
x + y = 90
We also know that y, being the larger angle is 3 times x.
y = 3*x
Given these two we can solve the problem with basic algebra!
x + y =90
x + (3*x) = 90
4*x = 90
x = 90/4
x = 22.5
y = 3 * x
y = 3*(22.5)
y = 67.5
x + y = 90
We also know that y, being the larger angle is 3 times x.
y = 3*x
Given these two we can solve the problem with basic algebra!
x + y =90
x + (3*x) = 90
4*x = 90
x = 90/4
x = 22.5
y = 3 * x
y = 3*(22.5)
y = 67.5
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