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Two angles are supplementary one of them is 80* more than the other. Find the angles.

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User Anze
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8.4k points

1 Answer

2 votes

Answer:

50 degrees, and 130 degrees

Explanation:

Supplementary means that the angles add up to 180 degrees.

We have 2 angles of interest here. Lets assign the value of the smaller angle x.

Therefore, the larger angle, which is 80 more degrees than the smaller angle x, can be written as the expression x + 80

Now because the smaller angle and the larger angle add up to 180, we can write:

x + (x+80) = 180

Now, we evaluate

2x + 80 = 180

2x = 100

x = 50 degrees.

The larger angle, which is x + 80, must then be 50 + 80 which is 130 degrees.

Therefore, the 2 angles are 50 and 130 degrees.

Hope this helps :)

answered
User Fabjoa
by
8.5k points

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