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Solve for x in geometry

Solve for x in geometry-example-1
User Mierzej
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1 Answer

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Answer:

x = 3

Explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

28x - 2 is an exterior angle of the triangle, thus

28x - 2 = 15x - 3 + 40 = 15x + 37 ( subtract 15x from both sides )

13x - 2 = 37 ( add 2 to both sides )

13x = 39 ( divide both sides by 13 )

x = 3

User Darryl Peterson
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4.8k points