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?

There is not enough information in the figure to establish this.

Angle 3 is 63° because angle 1 and angle 3 are vertical angles.

Angle 3 is 117° because angle 1 and angle 3 form a line.

Angle 3 is 63° because angle 1 and angle 3 are corresponding angles.

3 answers

The correct answer is:

Angle 3 is 117° because angle 1 and angle 3 form a line. When two lines intersect, the sum of the angles on one side of the intersection is always 180°. Since angle 1 is 63°, angle 3 can be found by subtracting angle 1 from 180°: 180° - 63° = 117°.
wrong. Angles 1 and 3 are vertical angles.
So, A
pologies for the mistake, you are correct.

Angle 3 is 63° because angle 1 and angle 3 are vertical angles. Vertical angles are formed when two lines intersect and are opposite each other. They have equal measures, so if angle 1 is 63°, then angle 3 must also be 63°.
Similar Questions
  1. Angles and Parallel Lines Quick Check3 of 53 of 5 Items Question Use the figure to answer the question. Two intersecting lines
    1. answers icon 1 answer
  2. Angles and Parallel Lines Quick Check5 of 55 of 5 Items Question Use the figure to answer the question. Two intersecting lines
    1. answers icon 1 answer
  3. Angles and Parallel Lines Quick Check3 of 53 of 5 Items Question Use the figure to answer the question. Two intersecting lines
    1. answers icon 1 answer
    1. answers icon 1 answer
more similar questions