Using facts about the angles formed when parallel lines are cut by a transversal, what relationship can you establish between angle 5 and angle 1?(1 point) Responses vertical angles vertical angles alternate interior angles alternate interior angles corresponding angles corresponding angles alternate exterior angles
The correct relationship that can be established between angle 5 and angle 1 is alternate exterior angles.
To establish a relationship between angle 5 and angle 1, we can make use of the facts about angles formed when parallel lines are cut by a transversal. When parallel lines are intersected by a transversal, several pairs of angles are formed.
The angles that are opposite each other at the intersection are known as vertical angles. Vertical angles are always congruent, meaning they have the same measure.
If we consider angle 1 and angle 5, these angles are on opposite sides of the transversal and are formed by intersecting parallel lines. Therefore, angle 1 and angle 5 are vertical angles.
So, we can establish the relationship that angle 1 and angle 5 are congruent or have the same measure.
The relationship that can be established between angle 5 and angle 1 is "corresponding angles". When parallel lines are cut by a transversal, the corresponding angles are congruent. Therefore, angle 5 and angle 1 will be congruent to each other.
What is the relationship between angle 3 and angle 6? (1 point) Responses vertical angles vertical angles alternate exterior angles alternate exterior angles alternate interior angles alternate interior angles corresponding angles
The correct relationship that can be established between angle 3 and angle 6 is alternate interior angles. When parallel lines are cut by a transversal, the alternate interior angles are congruent. Therefore, angle 3 and angle 6 will be congruent to each other.
If angle 1 in the picture is 63° , what is the measure of angle 3? Why? (1 point) Responses Angle 3 is 63° because angle 1 and angle 3 are corresponding angles. Angle 3 is 63 degrees because angle 1 and angle 3 are corresponding angles. There is not enough information in the figure to establish this. There is not enough information in the figure to establish this. Angle 3 is 117° because angle 1 and angle 3 form a line. Angle 3 is 117 degrees because angle 1 and angle 3 form a line. Angle 3 is 63° because angle 1 and angle 3 are vertical angles.
If angle 1 in the picture is 63°, we cannot determine the measure of angle 3 based on this information alone. The picture or diagram is needed to determine the relationship between angle 1 and angle 3. Without the picture, it is not possible to establish if angle 1 and angle 3 are corresponding angles, vertical angles, or any other type of angle relationship. Therefore, there is not enough information in the given statement to determine the measure of angle 3.
calculate the supplement of an angle that measures 85
the supplement of the angle is -95 because 85 - 180 = -95
the supplement of the angle is 85 because supplementary angles are congruent
the supplement of the angle is 95 because 180 -85 = 95
or the supplement of the angle is 5 because 90 - 85= 5