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nikklg [1K]
3 years ago
5

Solve for X Explain if possible :)

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
4 0

The two labeled angles are alternate interior angles, and as such, they are the same.

From this result you can build the equation

15x-2 = 13x+2

and solve it for x: subtract 13x from both sides to get

2x-2=2

and add 2 to both sides to get

2x = 4 \implies x = 2

Check: if we plug the value we found we have

13\cdot 2 + 2 = 26+2 = 28 = 15\cdot 2 - 2 = 30-2

So the angles are actually the same, as requested.

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