Two angles supplementary. One angle is 4degrees° less thanless than three times the other. Find the measures of the angles.
What is the measure of the smaller angle?
What is the measure of the other angle?
Please Help
what does it mean to be supplementary?
If one angle is x, then what is the other?
To solve this problem, let's first define the variables:
Let x be the measure of the smaller angle in degrees.
Then, the measure of the other angle can be expressed as 3x - 4.
According to the problem, the angles are supplementary, which means that the sum of their measures is 180 degrees.
So, we can set up the equation:
x + (3x - 4) = 180
Combining like terms, we get:
4x - 4 = 180
Next, we can isolate the variable:
4x = 180 + 4
4x = 184
Dividing both sides by 4, we find:
x = 46
Therefore, the measure of the smaller angle is 46 degrees.
To find the measure of the other angle, substitute x into the expression 3x - 4:
3(46) - 4 = 138 - 4 = 134
Therefore, the measure of the other angle is 134 degrees.