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.