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!
Answer:
D.
Step-by-step explanation:
I don't know for a fact but I'm pretty sure its D. sorry if its wrong.
Hope this helped.
Answer: Y = 6 and X = 5
Step-by-step explanation: Im not sure But i think that that your supposed to subtract by 2 so 8 - 2 would equal 6 and then 7-2 equals 5 so yeah
Opposite angles have the same measures. This allows you to set and solve the following equations:
To solve both equations, let's move all the terms involving the variables on the left hand side, and all constant terms on the right hand side:
Sum like terms:
Divide the first equation by 2 and the second by -4:
