http://www.ck12.org Chapter 3. Parallel and Perpendicular Lines
Ify= 27 ◦, then each angle is 3( 27 ◦)+ 53 ◦, or 134◦.
- There are many examples of alternate exterior angles in the diagram. Here are some possible answers:
-^6 1 and^614
-^6 2 and^613
-^6 12 and^613
Practice
- Find the value ofxifm^61 = ( 4 x+ 35 )◦,m^68 = ( 7 x− 40 )◦:
- Are lines 1 and 2 parallel? Why or why not?
For 3-6, what does the value ofxhave to be to make the lines parallel?
3.m^62 = ( 8 x)◦andm^67 = ( 11 x− 36 )◦
4.m^61 = ( 3 x+ 5 )◦andm^68 = ( 4 x− 3 )◦
5.m^62 = ( 6 x− 4 )◦andm^67 = ( 5 x+ 10 )◦
6.m^61 = ( 2 x− 5 )◦andm^68 = (x)◦
7.m^62 = ( 3 x+ 50 )◦andm^67 = ( 10 x+ 1 )◦
8.m^61 = ( 2 x− 12 )◦andm^68 = (x+ 1 )◦For 9-12, determine whether the statement is true or false.
- Alternate exterior angles are always congruent.
- If alternate exterior angles are congruent then lines are parallel.
- Alternate exterior angles are on the interior of two lines.
- Alternate exterior angles are on opposite sides of the transversal.
For questions 13-15, use the picture below.
- What is the alternate exterior angle with^6 2?
- What is the alternate exterior angle with^6 7?
- Are the two lines parallel? Explain.