Use the figure to answer the question.
Two intersecting lines form an x and have four angles at the point of intersection labeled clockwise from the top: 1, 2, 3, and 4.
If angle 1 in the picture is 63° , what is the measure of angle 3? Why?
(1 point)
Responses
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.
Angle 3 is 63 degrees because angle 1 and angle 3 are vertical 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 63° because angle 1 and angle 3 are corresponding angles.
Angle 3 is 117° because angle 1 and angle 3 form a line.
Angle 3 is 117° because angle 1 and angle 3 form a line.
To find the measure of angle 3, we need to understand the relationships between the angles in the figure.
From the description, we know that angle 1 is 63°.
Given that the two lines intersect, we can conclude that the sum of angle 1 and angle 3 is equal to 180° (since they form a straight line). This is called a linear pair.
So, if angle 1 is 63° and the sum of angle 1 and angle 3 is 180°, we can subtract 63° from 180° to find the measure of angle 3.
180° - 63° = 117°
Therefore, angle 3 has a measure of 117°.
The correct response is "Angle 3 is 117° because angle 1 and angle 3 form a line."