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drek231 [11]
2 years ago
14

For the diagram below, if < 4 = 4x - 2, and < 6 = 2x + 14, what is the value of x?

Mathematics
1 answer:
RUDIKE [14]2 years ago
3 0

Applying the alternate interior angles theorem, the value of x is: D. 8.

<h3>What is the Alternate Interior Angles Theorem?</h3>

The alternate interior angles theorem states that interior angles that are alternate to each other along a transversal have equal measurement.

∠4 and ∠6 are alternate interior angles, therefore:

m∠4 = m∠6

Substitute

4x - 2 = 2x + 14

4x - 2x = 2 + 14

2x = 16

x = 16/2

x = 8 (option D).

Learn more about the alternate interior angles theorem on:

brainly.com/question/24839702

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<h3>Define transformations.</h3>

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<h3>What is the line of best fit?</h3>

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