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:

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