Answer:
A
Step-by-step explanation:
Angle 3 and angle 6 are congruent because they are alternate interior angles. Angle 3 plus angle 1 is 180 degrees. So you just subtract 123 from 180 (180-123) and you get 57 degrees.
The measure of angle 6 is 57°
The correct answer is an option (A)
"The lines in the same plane that are at equal distance from each other and never meet."
"A line that passes through two lines in the same plane at two distinct points in the geometry. "
"The angles directly opposite to each other when two lines intersect in a plane."
For given question,
Line n and line p are parallel lines and line t is the transversal.
Here, angle 1 and angle 4 are opposite angles.
⇒ ∠1 = ∠4
We have been given that ∠1 = 123°
⇒ ∠4 = 123°
Also, angle 4 and angle 6 are interior angles on the same side of the transversal.
We know that each pair of interior angles on the same side of the transversal is supplementary.
⇒ ∠4 + ∠6 = 180°
⇒ 123° + ∠6 = 180°
⇒ ∠6 = 180° - 123°
⇒ ∠6 = 57°
Therefore, the measure of angle 6 is 57°
The correct answer is an option (A)
Learn more about the angles formed by parallel lines and transversal here:
https://brainly.com/question/16967505
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