An angle measures 82 degrees more than the measure of its supplementary angle. What is the measure of each angle

Smaller Angle: 49 degrees

Bigger Angle: 131 degrees

Note that supplementary angles add up to be 180 degrees. Knowing this and the information provided in the question, we can use the following system of equations:

x + y = 180 (showing they both add up to 180)

x + 82 = y  (to show one angle is 82 more than the other)

We can use the substitution method to solve. Since the second equation ends in  "= y" we can substitute the value of it into y for the first equation.

x + y = 180; x + 82 = y  ==> x + (x + 82) = 180

And now, solve for x:

x + (x + 82) = 180

x + x + 82 = 180 > combine like terms

2x + 82 = 180

2x = 98

x = 49

So now we have the value for one of the angles! Remembering that the other angle is 82 degrees bigger, dd 49 + 82, which equals 131.

So, our two angle values are 131 and 49! This is correct since both angle measures add up to be 180, which also makes them supplementary!

idk

step-by-step explanation:

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