I am not really sure if my answer is correct. Please enlighten me. Thank you. The difference betwe

Theresa Archer

Theresa Archer

Answered question

2022-06-16

I am not really sure if my answer is correct. Please enlighten me. Thank you.
The difference between the measures of an angle and its supplement is forty eight. Find the measure of both angles.
a + b = 180 b a = 48
2 a = 132 divided by 2 is a = 66
66 + b = 180 b = 180 66 b = 114
My answers: a = 66 and b = 114
Please correct me if I am wrong. Thank you.

Answer & Explanation

gaiageoucm5p

gaiageoucm5p

Beginner2022-06-17Added 20 answers

Even is your result is apparently correct, your calculus is wrong : there is a mismatch with a and b. You find a = 66 and b = 114. Hence a b = 48 which doesn't agree with the given equation a b = 48. I suppose that you will find by yourself where is the mistake.
glycleWogry

glycleWogry

Beginner2022-06-18Added 8 answers

Let the measures of the angles be a and b. Also, let a be the larger angle ( a > b)
a + b = 180
a b = 48
Subtract the first equation from the second to get rid of a. This is called elimination.
2 b = 132
b = 132 2
b = 66
Plug the value of b into either equation.
a + 66 = 180
a = 180 66
a = 114
The angle measures are 114 and 66 . So yes, you are correct.

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