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Viefleur [7K]
3 years ago
15

Find the value of x - The answer is 45, but I need to show my work!!! THANK YOU

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
5 0

Answer:

x = 45°

Step-by-step explanation:

The total measurement is 360° (the measurement of a circle).

Set the equation. Set all measurements equal to 360:

228 + (x + 29) + (x + 13) = 360

Combine like terms:

228 + 29 + 13 + 2x = 360

2x + 270 = 360

Isolate the variable, x. Note the equal sign, what you do to one side, you do to other. Do the opposite of PEMDAS. First, subtract 270 from both sides:

2x + 270 (-270) = 360 (-270)

2x = 360 - 270

2x = 90

Next, divide 2 from both sides of the equation:

(2x)/2 = (90)/2

x = 90/2

x = 45

x = 45° is your answer.

~

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