Three Types of Special Angles

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Presentation transcript:

Three Types of Special Angles SECTION 2.4 Three Types of Special Angles

1) Complementary Angles Complementary angles are two angles whose measures = 90o 1) Find the complement to the angle. 90o - 74o = 16o

2) Supplementary Angles Supplementary angles are two angles whose measures = 180o 2) Find the supplement to the angle. 180o - 74o = 106o

S = 3C S = 180o – A C = 90o – A 180o + 2A= 270o 180o – A = 3(90o – A) Challenge Question A supplement of an angle is three times as large as the complement of the angle. Find the angle. S = 3C S = 180o – A C = 90o – A 180o + 2A= 270o 180o – A = 3(90o – A) 2A= 90o 180o – A= 270o – 3A A= 45o

Vertical Angle Theorem: 3) Vertical Angles are

Using Algebra to Solve for Angle Measurements Find the measure of all the angles. 2(65) + 35 = 165o 65o - 50o 15o y = 5 = 15o x – 50 + 2x + 35 = 180o z = 165o 3x – 15 = 180o 3x = 195o x = 65o

PRACTICE Page 51 # 1 – 20 All

Vertical Angles THEOREM: Vertical Angles are CONGRUENT!