SOLUTION: The sum of the complement and the supplement of an angle is 190. What is the measure of the angle?
Algebra.Com
Question 711078: The sum of the complement and the supplement of an angle is 190. What is the measure of the angle?
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!
Define the following variables:
A=Angle you are looking for
C=A's Complement
S=A's Supplement
-------------------
You can write the following equations:
Equation 1: C+S=190
Equation 2: A+C=90
Equation 3: A+S=180
You have 3 equations and 3 unknowns. Anytime you can write as many equations as you have unknowns, you can solve the problem.
There are several ways to proceed from here. Here is one way:
Subtract Equation #2 from Equation #3:
Simplify this. The A term goes away since A-A=0:
Solve for S:
Substitute this expression for S into Equation #1:
Solve for C:
Now that you know C, you can substitute that into Equation #2 to find A:
=====================
Good Luck,
tutor_paul@yahoo.com
RELATED QUESTIONS
Sum of complement and supplement angle is 200. What is the measure of the... (answered by nerdybill)
The sum of the complement and the supplement of an angle is 114. What is the measure of... (answered by edjones)
The complement of an angle is 40% its supplement. What is the measure of the... (answered by tommyt3rd)
If the sum of an angle's complement and its supplement is 202, what is the measure of the (answered by Fombitz)
The sum of the supplement and complement of an angle is 130 degrees. Find measure of the... (answered by stanbon,dudeantariksh)
what is the sum of the measures of a supplement and a complement of an angle with measure (answered by nerdybill)
The sum of a complement and a supplement angle is 200. what is the measure of the... (answered by ankor@dixie-net.com)
A supplement of an angle is 4 times the complement of the angle. find the measure of the... (answered by stanbon)
If the complement of an angle measure is 22, what is the measure of it's... (answered by mananth)