The measure of one angle is 38 degrees less than the measure of its supplement. What is the measure of each angle?
Angle+38=180-Angle
2Angle=142
Angle=71 deg
To find the measure of each angle, we need to understand the relationship between the angles and their supplements.
First, we'll define the two angles:
Let's call the measure of the first angle x degrees.
The measure of the second angle will be 180 - x degrees since the two angles are supplementary (their measures add up to 180 degrees).
The problem states that the measure of one angle is 38 degrees less than the measure of its supplement. Therefore, we can write the equation:
x = (180 - x) - 38
Let's solve the equation to find the value of x:
x = 180 - x - 38
Combining like terms:
2x = 180 - 38
2x = 142
Dividing both sides by 2:
x = 71
Now we can substitute the value of x back into our equations to find the measure of each angle:
The first angle is x = 71 degrees.
The second angle is 180 - x = 180 - 71 = 109 degrees.
Therefore, the measure of each angle is 71 degrees and 109 degrees, respectively.