Alternate interior angles are of same measurement, and a line is of 180°. The equation that models the relationship between ∠1 and ∠5 is given by: Option C) ∠1 + ∠5 = 180°
What are alternate interior angles?
The angle pair ∠2 and ∠1 are alternate interior angles (remember this internal side z like shape. They are alternate angles made on internal side when a line intersects two parallel lines.
Another pair of the alternate interior angles is ∠5 and ∠7 (in the figure attached in the problem).
The property of alternate interior angles is that they are of same measure.
What is the angle on a straight line?
Angles who add together to form a straight line, add up to °.
A straight line like angle is having measure 180°, both of its major and minor side (as both are same, and full angle is of 360°).
For the given case, we have:
∠1 and ∠2 as alternate interior angles. Thus, ∠1 = ∠2 (in terms of measurement)
Now since ∠2 and ∠5 make up the straight line A, thus, they together add up to make 180°, or
∠2 + ∠5 = 180°
Since ∠1 = ∠2, thus,
∠1 + ∠5 = ∠2 + ∠5 = 180°
Thus, ∠1 + ∠5 = 180°
Thus, The equation that models the relationship between ∠1 and ∠5 is given by: Option C) ∠1 + ∠5 = 180°
Learn more about alternate interior angles here:
https://brainly.com/question/2656732
