Among the 2 supplementary angles the measure of the largeer angle is 36 more than measure of the smaller one.Find their measures.
Since they are supplementary,
A + B = 180
and you also know that
A - B = 36
where A is the "measure of" the larger of the two angles.
By adding the two equations, you find that
2A = 216
A = 108
B = 72
it is so easy
try again
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To find the measures of the two supplementary angles, we can set up an equation based on the given information.
Let's assume that the measure of the smaller angle is "x" degrees.
According to the problem, the measure of the larger angle is 36 degrees more than the measure of the smaller angle. Therefore, the measure of the larger angle can be represented as "x + 36" degrees.
Since the two angles are supplementary, their sum should be 180 degrees. We can set up an equation to represent this:
x + (x + 36) = 180
Now, we can solve the equation to find the value of "x", which represents the measure of the smaller angle:
2x + 36 = 180
2x = 180 - 36
2x = 144
x = 144/2
x = 72
So, the measure of the smaller angle is 72 degrees.
To find the measure of the larger angle, we can substitute the value of "x" into the equation we used before:
x + 36 = 72 + 36 = 108
Therefore, the measure of the larger angle is 108 degrees.