POLYGONS AND QUADRILATERALS

Interior and Exterior Angles (6.1/6.2)

6. 1 Interior Angles in Convex PolygonsEssential Question: How can you

determine the number of degrees in any polygon?

Angles in a ∆ add to 180

An angle inside a polygon

22*180=36033*180=540

Sum= (n-2) *180

Has all congruent sides and angles

angle= (n-2)*180 n

Sum= (n-2)*180

Angle= (n-2)*180 N

A= (9-2)*180 9

A= 1260/9A= 140

Sum= (n-2)*180

Angle= (n-2)*180 N

1980= (n-2)*18011=n-213=n

Sum= (n-2)*180

Angle= (n-2)*180 N

135 = (n-2)*180 n

135n= (n-2)*180135n= 180n – 360 -45n= -360n=8

5 minTechnology Break

6. 2 Exterior Angles in Convex PolygonsEssential Question: What is an

exterior angle of a polygon?

Angle between side of a polygon and an adjacent side extended outward

The sum of the exterior angles of a convex polygon is 360

70+60+65+40+y=360y= 360 – 235y=125

360/7=x51.43 = x

360

Plicker Exit SlipQuestion 1 Question 2If the sum of the

interior angles of a shape is 1620, how many sides does it have?

A)7B)9C)11D)13

The measure of each exterior angle in a pentagon is 2y. Solve for y.

A)2.5B)36C)54D)180

Homework

6.1 evens 6.2 all