In the figure below, lines p and q are parallel. The measure of angle 1 is 162°. What is the measure of angle 3? Explain how you know.
http://logon.njvhs.org/webdav/assessment_images/educator_math3/v8/07_04c_50_020.jpg

Question

dumbcow · Answer

Vertical angles
m1 = m3
m3 = 162

anonymous · Answer

can you explain that a little better please ?

dumbcow · Answer

All vertical angles are equal
1=3
2=4
5=7
6=8

anonymous · Answer

why is that ?

dumbcow · Answer

because when 2 lines intersect, it creates like a mirror image on either side of a line.
also we know that a straight line is 180 degrees
1+2 = 180
3+4 = 180
the mirror image makes it such that 1=3 and 2=4

dumbcow · Answer

sorry im not the best at explaining geometry

anonymous · Answer

so what is the total answer ?

dumbcow · Answer

the answer??
m3 = 162 because angles 1 and 3 are vertical angles