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All Δs have three interior angles with a sum of degrees. 40 50 90 40 105 35 All Δs have three interior angles with a sum of degrees. 40 ? 50 90 180 40 110 30 ? All quadrilaterals have 4 interior angles with a sum of degrees 90 90 90 90 60 130 100 70 (Eyeball "◉◉" Acute vs. Obtuse vs. Right angles) All quadrilaterals have 4 interior angles with a sum of degrees 90 90 ? 90 90 360 60 135 ? 95 70 ? ∆ triangle (3) ⌂ pentagon (5) Shape ( # of sides) quadrilateral (4) hexagon (6) Sum of Interior ∡s 180 360 540 +180 +180 +180 80 120 110 100
x hexagon Shape ∆ ⌂ Interior ∡s 180 360 540-(110+120+80+100)= x 540 - ( ) = x x = 80 120 110 100
x hexagon Shape ∆ ⌂ Interior ∡s 180 540 360 2x 3x 2x 2x x hexagon Shape ∆ ⌂ Interior ∡s 180 360 2x+2x+x+2x+3x = 540 (how many x? Do NOT say 5x) 2x 3x 2x 2x = 540 x hexagon Shape ∆ ⌂ Interior ∡s 180 540 360 2x+2x+x+2x+3x = 540 2x 3x 10x x = 2x 2x = 540 x hexagon Shape ∆ ⌂ Interior ∡s 720 180 540 360 Regular polygons have congruent sides and congruent angles Which polygon has the greatest interior angle sum??? Regular polygons have congruent sides and congruent angles . . . . . . . . hexagon Shape ∆ ⌂ Interior ∡s 180 540 360 The 720 sum is divided 6 ways, equally 720 sum hexagon Shape ∆ ⌂ Interior ∡s 180 540 720 360 Which -gon is which? Octagon ? Pentagon ? Hexagon ? Decagon ? Dragon ? Wagon ? The End |