Question

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What is the value of x?

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Two intersecting lines. The angle formed at the top is labeled 3 x plus 50 degrees. The angle formed at the bottom directly opposite it is labeled 6 x minus 10 degrees.

Answer 1

We know that the two angles are opposite and therefore are equal, so we can set them equal to each other and solve for x:

3x + 50 = 6x - 10

Adding 10 to both sides, we get:

3x + 60 = 6x

Subtracting 3x from both sides, we get:

60 = 3x

Dividing both sides by 3, we get:

x = 20

Therefore, the value of x is 20.