If angle 1 in the picture is 63° , what is the measure of angle 3? Why?
(1 point)
Responses
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.
Angle 3 is 63 degrees because angle 1 and angle 3 are vertical angles.
Angle 3 is 63° because angle 1 and angle 3 are corresponding angles.
There is not enough information in the figure to establish this. Vertical angles are formed by two intersecting lines and are congruent to each other, so angle 3 cannot be determined just based on angle 1. Corresponding angles are formed when a transversal intersects two parallel lines and are not applicable in this scenario.
To determine the measure of angle 3, we need to analyze the given figure and make use of the information provided.
From the options given, we can eliminate the first two options which state that there is not enough information in the figure to establish the measure of angle 3.
Next, let's consider the option that suggests that angle 1 and angle 3 form a line and that angle 3 is 117 degrees. This does not seem to be accurate since the sum of angles on a straight line is always 180 degrees. Therefore, angle 3 cannot be 117 degrees.
Moving on to the option that suggests that angle 1 and angle 3 are vertical angles and that angle 3 is 63 degrees. Vertical angles are opposite angles formed by the intersection of two lines. They have equal measures. Since angle 1 is given as 63 degrees, angle 3 must also be 63 degrees because they are vertical angles.
We can disregard the last option that says angle 3 is 63 degrees because angle 1 and angle 3 are corresponding angles. Corresponding angles are formed when a transversal intersects two parallel lines. However, there is no information given in the figure that specifies parallel lines or a transversal.
Therefore, the correct answer is: Angle 3 is 63 degrees because angle 1 and angle 3 are vertical angles.