Two angles are supplementary. The first angle is 4x degrees. The second angle is (2x+6) degrees. Determine the measure of each angle

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Аноним Аноним · Answer 1 · 2019-04-21T22:21:33+02:00

Answer:

116 and 64 degrees.

Step-by-step explanation:

Supplementary angles add up to 180 degrees so we can create the following equation and solve for x:

4x + 2x + 6 = 180

6x + 6 = 180

6x = 180 - 6 = 174

x = 174/6 = 29.

So the first angle is 4*29 = 116 degrees and the second is 2*29 + 6 = 64 degrees.

To confirm these results add them up: 116 + 64 = 180 degrees.

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vintechnology vintechnology · Answer 2 · 2021-12-31T11:17:46+01:00

The measure of the angles that are supplementary are 116 degrees and 64 degrees.

Supplementary angles are 2 angles that sum up to 180 degrees.

Therefore,

first angle = 4x

second angle = 2x + 6

4x + 2x + 6 = 180

6x + 6 = 180

subtract 6 from both sides

6x + 6 - 6 = 180 - 6

6x = 174

divide both sides by 6

6x / 6 = 174 / 6

x = 29

Therefore,

first angle = 4(29) = 116°

second angle = 2(29) + 6 = 64°

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