The measure of an angle's supplement is 44 less than the measure of the angle. Find the measure of the angle and its supplement.
first angle : x
the angle's supplement :180-x
"The measure of an angle's supplement is 44 less than the measure of the angle"
-translated into "math"
180-x = x - 44
180 + 44 = 2x
2x = 224
x = 112 , so its supplement is 180-112 = 68
check :
does 112 and 68 add up to 180 ? YES
is 112 greater than 68 by 44 ? YES!
Thank You so much. You made it a little bit easier to understand. I really appreciate it.
Let's call the measure of the angle x degrees.
According to the problem, the measure of its supplement is 44 less than x degrees.
The supplement of an angle is the angle that, when added to the given angle, results in a sum of 180 degrees.
So, the measure of the supplement of the angle is (180 - x) degrees.
According to the problem, we have the equation:
180 - x = x - 44
Now, let's solve this equation:
180 - x + x = x - x - 44 + 180
180 - 44 = 2x
136 = 2x
x = 136/2
x = 68
The measure of the angle is 68 degrees.
Now, to find the measure of its supplement, we can substitute the value of x back into the equation for the supplement of the angle:
180 - x = 180 - 68 = 112
So, the measure of the supplement of the angle is 112 degrees.
Therefore, the measure of the angle is 68 degrees, and its supplement is 112 degrees.
To solve this problem, let's start by defining the angle's measure as "x."
According to the problem, the measure of an angle's supplement is 44 less than the measure of the angle.
The supplement of an angle is the angle that, when added to the original angle, equals 180 degrees, as the sum of the two angles forms a straight line. So, the measure of the angle's supplement can be found by subtracting the measure of the angle from 180 degrees.
Now, we can set up an equation to represent the problem:
x - 44 = 180 - x
Let's solve this equation to find the value of "x" (the measure of the angle):
2x = 224
Dividing both sides of the equation by 2:
x = 112
The measure of the angle is 112 degrees.
To find the supplement of the angle, we can substitute the value of x back into the equation:
180 - x = 180 - 112 = 68
The measure of the angle's supplement is 68 degrees.
Therefore, the measure of the angle is 112 degrees, and its supplement is 68 degrees.