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Interior and Exterior Angles of Triangles. Right Angle A right angle has a measurement of 90 degrees.

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Presentation on theme: "Interior and Exterior Angles of Triangles. Right Angle A right angle has a measurement of 90 degrees."— Presentation transcript:

1 Interior and Exterior Angles of Triangles

2 Right Angle A right angle has a measurement of 90 degrees

3 Straight Angle A straight angle Has a measurement Of 180 degrees

4 Acute Angle An acute angle has A measurement of Less than 90 degrees

5 Obtuse Angle An obtuse angle has A measurement of More than 90 degrees

6 Complimentary Angles Their measures add up to exactly 90 degrees

7 Supplementary Angles Their measures add up to exactly 180 degrees

8 Finding Missing Angles 25º x x + 25 = 90

9 45ºx x + 45 = 180

10 Finding the complimentary and supplementary angles 30° Complimentary: 30 + x = 90 Supplementary: 30 + x = 180 The complimentary angle is 60⁰ and the supplementary angle is 150⁰

11 65° The complimentary angle is ___⁰ and the supplementary angle is _____⁰

12 105° In this case there is no complimentary angle, only a supplementary angle. Why?

13 Triangles

14 Finding a Missing Angle The sum of all angles in a triangle is 180 degrees. You should remember that from last year, but why?

15 Let’s Look at it Three Ways Cutting off the angles I cut off angles 2 and 3 and lined them up to form a straight line

16 Rotating the Triangle In this picture angles 1, 2, and 3 combine to make a straight line of 180⁰

17 Using parallel lines and transversals Angle 2 by vertical angles, angles 1 and 3 by complimentary angles

18 Putting it into action

19 Your Turn

20 Finding an exterior angle -Create a straight line to solve 80⁰ + x⁰ make up the straight line. The 55⁰ and 45⁰ have nothing to do with it.

21 Your Turn 35° 55°

22 60º x

23 145º x y

24 Find all the missing angles 85° 154°

25 Closure Two angles that are supplementary add up to ______

26 Closure Two angles that are complimentary add up to ______

27 Closure A straight line is _______

28 Closure The sum of all angles in a triangle equals:

29 Closure: With a partner find all the missing angles 125° 168°


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