Angle Relationships

Pairs of Angles

Adjacent <s (adj <s) - angles in same plane with common vertex & side but no common interior points

Vertical <s (vert <s) – 2 non-adjacent angles formed by 2 intersecting lines

Linear Pair (linear pr) – adjacent angles whose non-common sides are opposite rays

Angle Relationships

Complementary <s (comp) – 2 angles whose sum is 90˚

Supplementary <s (supp) – 2 angles whose sum is 180˚

Examples

1. 20 comp ____ 2. 93 comp ____

3. 20 supp ____ 4. 93 supp ____

Find the measures of 2 supp angles if one angle is 6 less than 5 times the other angle:

Perpendicular Lines – lines that form right angles

W

X

Y

Z

Example – What can/cannot be assumed from the picture?

m<VYT = 90

<TYW & <TYU are supp

<VYW & <TYS are adj <s

Examples

30

3890E

F

G

A

CD

B

1. Find measures of <ABG, <DBC, & <EBF:

2. Name an < adjacent to <EBD:

3. Name an < vertical to <DBA:

4. Name the compliment of <FBG:

5. Name the supplement of <ABC:

6. Which < forms a linear pair with <EBF?

7. Which pair of lines are perpendicular?

8. T or F: <DBC & <EBF are vertical <s.