Which of the following statements are true? Select all that apply.

Question

asked Jan 4, 2022 146k views

2 Answers

Santhosh · Answer 1 · 2022-01-08T19:01:29+0000

Essentially, everything but choice A is true.

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Step-by-step explanation:

Let's go through the answer choices one by one

Choice A is false because angles 3 and 2 are not alternate interior angles. Instead, they are vertical angles.
Choice B is true because angle 1 and angle 3 form a straight line.
Choice C is true. Alternate interior angles are angles that are inside the parallel lines, and are on alternating sides of the transversal cut. The other pair of alternate interior angles is angle 4 and angle 5.
Choice D is true. We go from
$m \angle 1 + m \angle 3 = 180$ to
$m \angle 1 + m \angle 6 = 180$ after replacing angle 3 with angle 6. Such a replacement can be made because angle 3 and angle 6 are the same measure.