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<3 and <4 are alternate interior angles. <3= 15x-7 and <4= 12x+14. Solve for x

User Brovoker
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Final answer:

By equating the expressions for alternate interior angles <3 and <4, we solve the equation and find that x equals 7.

Step-by-step explanation:

If <3 and <4 are alternate interior angles, this entails that they are equal. Thus, by setting the equations 15x-7 for <3 and 12x+14 for <4 equal to each other, we can solve for x. We get:

15x - 7 = 12x + 14

Subtracting 12x from both sides, we have:

3x - 7 = 14

Then, adding 7 to both sides gives us:

3x = 21

Dividing both sides by 3, we get:

x = 7

User Fssilva
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