An angle is 35 degrees more than 4 times its supplementary angle. Find the measures of the two angles.
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A-35=4(180-A)
To find the measures of the two angles, we need to set up an equation based on the given information.
Let's call the angle x and its supplementary angle (180 - x).
According to the given information, we know that the angle x is 35 degrees more than 4 times its supplementary angle. This can be expressed as:
x = 4(180 - x) + 35
Let's solve this equation to find the value of x.
x = 720 - 4x + 35
5x = 755
x = 151
So, the measure of the angle x is 151 degrees.
Now, let's find the measure of its supplementary angle by subtracting x from 180:
180 - x = 180 - 151 = 29
Therefore, the measure of the supplementary angle is 29 degrees.
To summarize, the angle x measures 151 degrees, and its supplementary angle measures 29 degrees.