1.5 –Describe Angle Pair Relationships. Adjacent angles: Two angles that share a common side and vertex 1 2  1 is adjacent to  2.

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1.5 –Describe Angle Pair Relationships

Adjacent angles: Two angles that share a common side and vertex 1 2  1 is adjacent to  2

Complementary Angles:Two angles that add to 90° m  1 + m  2 = 90°

Supplementary Angles:Two angles that add to 180° m  1 + m  2 = 180°

Linear Pair: Two adjacent angles whose noncommon sides are opposite rays 1 2 They will always add to 180° m  1 + m  2 = 180°

Vertical Angles: Two angles whose sides form two pairs of opposite rays 1 2 They will always be congruent!

1. Tell whether the indicated angles are adjacent.  EFG and  HGF no

1. Tell whether the indicated angles are adjacent.  JNM and  MNK yes

2. Name a pair of complementary angles, supplementary angles, and vertical angles. L M N P Q R O Complementary:  QOR and  ROL Supplementary:  ROL and  LON  ROM and  MON Vertical:  MON and  NOP  QOL and  LOM  ROL and  NOP  LOM and  QOP

2. Name a pair of complementary angles, supplementary angles, and vertical angles. A B C D E G Complementary:  DGE and  EGA Supplementary:  DGE and  EGB  DGA and  AGB Vertical:  EGA and  AGC  DGE and  BGC  EGB and  DGC

3.  1 and  2 are complementary angles. Given the measure of  1, find m  2. m  1 = 82° m  2 = 8° 90 – 82 =

3.  1 and  2 are complementary angles. Given the measure of  1, find m  2. m  2 = 67° 90 – 23 = m  1 = 23°

4.  1 and  2 are supplementary angles. Given the measure of  1, find m  2. m  2 = 98° 180 – 82 = m  1 = 82°

m  2 = 75° 180 – 105 = m  1 = 105° 4.  1 and  2 are supplementary angles. Given the measure of  1, find m  2.

5. Find the measure of  ABD and  DBC. 4x x – 6 = x = 180 x = 12 m  ABD = 4(12)+6 = 48+6 = 54° m  DBC = 11(12)-6 = = 126°

5. Find the measure of  ABD and  DBC. 2x + 3x = 90 5x = 90 x = 18 m  ABD = 2(18) = 36° m  DBC = 3(18) = 54°

6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither.  1 and  2 Linear pair

6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither.  1 and  3 Vertical angles

6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither.  2 and  4 Vertical angles

6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither.  5 and  7 neither

6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither.  5 and  8 neither

7. Find the values of x and y. 6x – x – 9 = 180 8x – 20 = 180 8x = 200 x = 25° 20y x – 9 = y (25) – 9 = y + 60 = y = 120 y = 6°

7. Find the values of x and y. 21x – 3 + 5x + 1 = x – 2 = x = 182 x = 7° 4y + 17y – 9 = y – 9 = y = 189 y = 9°

# 50 Ans: ex:  AGB &  EGD Vertical angles HW Problem SectionPage #AssignmentSpiral ?s , 5, 7, 11, odd, odd, 50,