This document discusses angles and their properties. It defines terms like transversal, interior angles, exterior angles, corresponding angles, alternate interior angles, and alternate exterior angles. It explains that if two parallel lines are cut by a transversal, then corresponding angles, alternate interior/exterior angles, and interior/exterior angles on the same side of the transversal are congruent. There are examples of naming angles and solving for unknown angles given information about parallel lines cut by a transversal.

1. GEOMETRY

2. Angles in daily life
If we look around us, we will see
angles everywhere

3. Also called an aerial, an antenna is a conductor that can transmit, send
and receive signals such as microwave, radio or satellite signals. A high-
gain antenna increases signal strength, where a low-gain antenna
receives or transmits over a wide angle.

4. transversal

5. The parallel lines also have a
transversal cutting through it. The
picture is part of stair railings.

6. This is a picture of the Colosseum which is located in
Rome, Italy. It was essentially a sports arena back
when it was first built. They also have a transversal
running through it.

7. A Line That Intersects two Or
More
Lines At Different Points Is
Called A Transversal

9. Interior Angles

10. Exterior Angles

11. Alternate
interior Angles

12. Alternate
exterior Angles

13. Interior Angles on the
same side of transversal

14. Exterior Angles on
the same side of
transversal

15. Corresponding
Angles

18. If 2 Parallel Lines Are Cut By A
Transversal Then:
 Corresponding Angles Are Congruent
Alternate Interior/ exterior angles are
congruent
Interior/exterior angle on the same side
of transversal are congruent

19. 11 12
13 14
15 16
17 18
Name The Angles
1. 11 and 15
2. 12 and 16
3. 13 and 16
4. 12 and 18
5. 14 and 16
6. 14 and 18
7. 11 and 14
8. 15 and 17

20. 1.Corresponding
2.Corresponding
3.Alt Interior
4.Exterior angles on the same side of t.
5.Interior angles on the same side of t
6.Corresponding
7.Vertical Angles
8.Linear Pair

23. GIVEN: a // b
m ∟1 = 105
1 2
3 4
5 6
7 8
a
b
Find:
1. ∟3 =
2. ∟6 =
3. ∟7 =
4. ∟4 =
5. ∟5 =