Vertical Angles. Lesson 2.8. Opposite Rays: Two collinear rays that have a common endpoint and extend in different directions. B. A. C. Ray AB and ray AC are opposite rays. B. A. C. D. Ray BA and Ray CD are not opposite rays. X. Y. V. U.
Two collinear rays that have a common endpoint and extend in different directions
Ray AB and ray AC are opposite rays.
Ray BA and Ray CD are not opposite rays.
Ray UV and Ray XY are not opposite rays. NO common end point.
Vertical Angles: when ever two lines intersect, two pairs of vertical angles are formed.
Definition: Two angles are vertical angles if the rays forming the sides of one angle and the rays forming the sides of the other are opposite rays.
<1 &<2; <3 & <4 are vertical angles.
Prove <5 congruent to <7
Hint: use supplementary angles
Given: <2 congruent to <3
Prove: <1 congruent to <3
m 4 = 2x +5
m 5 = x + 30
Find the m4 and m6
Vertical angles are congruent so just set them equal to each other and solve for x.
REMEMBER to plug x back in to find the angle.
The measure of <6 = 180-55