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Math 1 March 20 th. What you need today in class: Pick up a calculator Turn in Homework – page 19. WARM-UP (Don’t copy question – just show work and give answer) Find the measure of ONE exterior angle of a regular octagon. Find the measure of ONE interior angle of a 11-gon.
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Math 1 March 20th What you need today in class: • Pick up a calculator • Turn in Homework – page 19 • WARM-UP • (Don’t copy question – just show work and give answer) • Find the measure of ONE exterior angle of a regular octagon. • Find the measure of ONE interior angle of a 11-gon. • In a regular polygon, the measure of one exterior angle is 40o. How many side does this polygon have?
Page 19 Answers • 900 • 1980 • 2700 • 2880 • 3600 • 4140 • 5040 • 5760 • 6660 • 120; 60 • 144; 36 • 156; 24 • 162; 18 • 168; 12 • 170; 10
Page 16-17 • FINDING AN INTERIOR & EXTERIOR ANGLE AT THE SAME TIME An interior angle and an exterior angle form a __________ ____________.
FINDING AN INTERIOR & EXTERIOR ANGLE AT THE SAME TIME An interior angle and an exterior angle form a __________ ____________. 1st: Find the EXTERIOR ANGLE 2nd: Find the INTERIOR ANGLE using the linear pair relationship. a) Find the interior and exterior angle of a regular hexagon.
HOW DO YOU FIND THE NUMBER OF SIDES OF A REGULAR POLYGON… 1. Given an EXTERIOR ANGLE?
HOW DO YOU FIND THE NUMBER OF SIDES OF A REGULAR POLYGON… 1. Given an EXTERIOR ANGLE? 2. Given an INTERIOR ANGLE?
PAGE 15 • The measures of the angles of a convex quadrilateral are 2x, 2x + 3, x – 5, and 3(x – 2). a. Sketch and label the figure
PAGE 5 • The measures of the angles of a convex quadrilateral are 2x, 2x + 3, x – 5, and 3(x – 2). a. Sketch and label the figure 2x + 3 2x 3(x – 2) x – 5
PAGE 5 a. Sketch and label the figure b. What is the sum of the interior angles of a convex quadrilateral? c. Find x. d. Find each angle measure. 2x + 3 2x 3(x – 2) x – 5
Page 18 - • How many sides does a regular polygon have if the measure of each exterior angle is 60°? • How many sides does a regular polygon have if the measure of each interior angle is 144°?
Homework • Complete page 19 • Finish 11 – 37 ODDS only • This is Practice for the QUIZ