Pairs of Angles. Press Ctrl-A ©2009 G Dear – Not to be sold/Free to use Stage 4 Years 7 & 8 Web.

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Presentation transcript:

Pairs of Angles. Press Ctrl-A ©2009 G Dear – Not to be sold/Free to use Stage 4 Years 7 & 8 Web

Pairs of angles – Adjacent (1/2) A O B C Adjacent Angles have: A common vertex. Vertex A common ray. Common ray Lie on opposite sides of the common ray. End of Slide

Adjacent Angles ???? (2/2)   No Common Vertex. No Common Ray. End of Slide

Complementary Angles (1/6) Complementary Angles Add to 90 o 40 o + 50 o 50 o 40 o = 90 o End of Slide

Complementary Angles (2/6) Complementary Angles Add to 90 o 60 o + 30 o 30 o 60 o = 90 o End of Slide

Complementary Angles (3/6) Complementary Angles Add to 90 o 20 o + 70 o 70 o 20 o = 90 o End of Slide

Complementary Angles (4/6) Complementary Angles Add to 90 o 45 o + 45 o 45 o = 90 o End of Slide

Complementary Angles (5/6) Example 1: Find the value of the pronumeral. a o + 35 o = 90 o aoao 35 o -35 a o = 55 o Reason: Complementary End of Slide

Complementary Angles (6/6) a o + 75 o = 90 o aoao 75 o -75 a o = 15 o Example 2: Find the value of the pronumeral. Reason: Complementary End of Slide

Supplementary Angles (1/5) Supplementary Angles Add to 180 o 30 o o 150 o 30 o = 180 o End of Slide

Supplementary Angles (2/5) Supplementary Angles Add to 180 o 70 o o 110 o 70 o = 180 o End of Slide

Supplementary Angles (3/5) Supplementary Angles Add to 180 o 80 o o 80 o 100 o = 180 o End of Slide

Supplementary Angles (4/5) a o o = 180 o aoao 120 o Example 1: Find the value of the pronumeral a o = 60 o Reason: Supplementary End of Slide

Supplementary Angles (5/5) a o + 70 o = 180 o aoao 70 o Example 2: Find the value of the pronumeral. -70 a o = 110 o Reason: Supplementary End of Slide Web

Pairs of angles – Vertically Opposite Vertically Opposite Angles are equal. 80 o = 80 o 80 o 100 o 100 o = 100 o End of Slide

Vertically Opposite (1/3) Vertically Opposite Angles are equal. 130 o = 130 o 130 o 50 o 50 o = 50 o End of Slide

Vertically Opposite (2/3) Vertically Opposite Angles are equal. 20 o = 20 o 20 o 160 o 160 o = 160 o End of Slide

Vertically Opposite (3/3) p o = 30 o popo 30 o qoqo 150 o q o = 150 o Example 1: Find the value of the pronumeral. Reason: Vertically Opposite End of Show