Problema Solution
Use an equation to solve the following problem:
Two angles are supplementary. Find the measure of an angle that is 20 degrees more than its supplement.
Answer provided by our tutors
These two angles are supplementary if they add up to 180°.
Let 'x' and 'y' represent the two supplementary angles.
This means that:
x + y = 180
One of the angles is 20 degrees more than its supplement:
y = x + 20
We have the following system of equations:
x + y = 180
y = x + 20
........
click here to see the system of equations solved for x and y
........
x = 80 degrees
y = 100 degress
The measure of the supplementary angle that is 20 degrees more than its supplement is 100 degrees.