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Interior and Exterior Angles of Triangles
Right Angle A right angle has a measurement of 90 degrees
Straight Angle A straight angle Has a measurement Of 180 degrees
Acute Angle An acute angle has A measurement of Less than 90 degrees
Obtuse Angle An obtuse angle has A measurement of More than 90 degrees
Complimentary Angles Their measures add up to exactly 90 degrees
Supplementary Angles Their measures add up to exactly 180 degrees
Finding Missing Angles 25º x x + 25 = 90
45ºx x + 45 = 180
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
65° The complimentary angle is ___⁰ and the supplementary angle is _____⁰
105° In this case there is no complimentary angle, only a supplementary angle. Why?
Finding a Missing Angle The sum of all angles in a triangle is 180 degrees. You should remember that from last year, but why?
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
Rotating the Triangle In this picture angles 1, 2, and 3 combine to make a straight line of 180⁰
Using parallel lines and transversals Angle 2 by vertical angles, angles 1 and 3 by complimentary angles
Putting it into action
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.
Your Turn 35° 55°
145º x y
Find all the missing angles 85° 154°
Closure Two angles that are supplementary add up to ______
Closure Two angles that are complimentary add up to ______
Closure A straight line is _______
Closure The sum of all angles in a triangle equals:
Closure: With a partner find all the missing angles 125° 168°
Geometry Point Line Line segment Ray Plane Parallel lines Intersecting lines Angles.
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The shapes below are examples of regular polygons. Look at the sides and angles of each shape. Octagon rectanglehexagon triangle The following shapes.
1 Unit 3 Angles and Parallel Lines. 2 Transversal Definition: A line that intersects two or more lines in a plane at different points is called a transversal.
Law of Sines The Ambiguous Case Section 6-1. In geometry, triangles can be uniquely defined when particular combinations of sides and angles are specified.
Of. and a to the in is you that it at be.
1 G.2a Angles and Parallel Lines. 2 Transversal Definition: A line that intersects two or more lines in a plane at different points is called a transversal.
The. of and a to in is you that it he was.
The. of and a to in is you that it he for.
Chapter 3.2 Notes: Use Parallel Lines and Transversals Goal: You will use angles formed by parallel lines and transversals.
A triangle with at least two sides congruent is called an Isosceles Triangle. bc a In this triangle, sides b and c are congruent.
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Measuring, calculating and drawing angles... Our learning objectives today To use a protractor to: a)measure acute and obtuse angles to the nearest degree.
Triangles & angles. Algebra Section 3-4 Supplementary angles - Two angles are supplementary if the sum of their measure is 180. Complementary angles -
Jeopardy Measuring Angles Triangles Hodgepodge Remember ? Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Properties.
Do Now Draw each figure. 1. line segment 2. line 3. ray 4. plane Course EQ : How do I identify parallel, perpendicular, and angles formed by a transversal?
MODULE I VOCABULARY PART VI. POLYGONS BY NUMBERS Today, we will be discussing the last few of our vocabulary words. Most of these are words you have heard.
High Frequency Words List A Group 1. the of and.
Geometry Notes Sections 3-1. What youll learn How to identify the relationships between two lines or two planes How to name angles formed by a pair of.
Geometry Points, Lines, and Shapes!. Plane plane A flat surface that stretches into infinity.
Exploring. Polygons are many-sided figures, with sides that are line segments. Polygons are named according to the number of sides and angles they have.
Triangles Report by Jennifer Johnson. What is a Triangle? A polygon Three sides Three angles.
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