6. Mastery Objective 6: Sum of Interior Angles - usıng two (a) The sum of the measures of the interior angles of a convex n-gon is given by the expression |(n – 2) - 180° - Explain why this expression works by drawing a picture and writing sentences, showing where each part of the expression (the n - 2; the multiplication by 180°) comes from in the picture. (n-2) x 180° 1. Froups We have to substitutet (4-2)x(80° Sincethe Shape has four sides, then we Subtract the 2 from it which woget (2)x 180°-360 two. Therefore you multply the 2 from 180° whichyour resuit (b) The sum of the measures of the interior angles of a convex n-gon is given by the expression n- 180° – 360° | Explain why this expression works by drawing a picture and writing sentences, showing where each part of the expression (the n multiplied by 180°; the subtraction of 360°) comes from in the picture. nx180-360 take- naay
6. Mastery Objective 6: Sum of Interior Angles - usıng two (a) The sum of the measures of the interior angles of a convex n-gon is given by the expression |(n – 2) - 180° - Explain why this expression works by drawing a picture and writing sentences, showing where each part of the expression (the n - 2; the multiplication by 180°) comes from in the picture. (n-2) x 180° 1. Froups We have to substitutet (4-2)x(80° Sincethe Shape has four sides, then we Subtract the 2 from it which woget (2)x 180°-360 two. Therefore you multply the 2 from 180° whichyour resuit (b) The sum of the measures of the interior angles of a convex n-gon is given by the expression n- 180° – 360° | Explain why this expression works by drawing a picture and writing sentences, showing where each part of the expression (the n multiplied by 180°; the subtraction of 360°) comes from in the picture. nx180-360 take- naay
6. Mastery Objective 6: Sum of Interior Angles - usıng two (a) The sum of the measures of the interior angles of a convex n-gon is given by the expression |(n – 2) - 180° - Explain why this expression works by drawing a picture and writing sentences, showing where each part of the expression (the n - 2; the multiplication by 180°) comes from in the picture. (n-2) x 180° 1. Froups We have to substitutet (4-2)x(80° Sincethe Shape has four sides, then we Subtract the 2 from it which woget (2)x 180°-360 two. Therefore you multply the 2 from 180° whichyour resuit (b) The sum of the measures of the interior angles of a convex n-gon is given by the expression n- 180° – 360° | Explain why this expression works by drawing a picture and writing sentences, showing where each part of the expression (the n multiplied by 180°; the subtraction of 360°) comes from in the picture. nx180-360 take- naay
Need help explaining how do you make triangles appear in each case? And we need to see why there’s a subtract 2 in part A as well a reason for why 180 degrees appears in both a and b

Transcribed Image Text:6. Mastery Objective 6: Sum of Interior Angles - using two metRods
(a) The sum of the measures of the interior angles of a convex n-gon is given by the expression
|(n – 2) - 180° | Explain why this expression works by drawing a picture and writing sentences,
showing where each part of the expression (the n – 2; the multiplication by 180°) comes from in the
picture.
(n-2) x 180°
1.
of
Froues
we have to substitutett
Sincethe Shapp has four
sides, then we subtract he
from' it which we get
two. Therefore you
2
(2)x180 360
multply the 2 from 180° whichyour resuit
(b) The sum of the measures of the interior angles of a convex n-gon is given by the expression
n- 180° – 360° | Explain why this expression works by drawing a picture and writing sentences,
showing where each part of the expression (the n multiplied by 180°; the subtraction of 360°) comes
from in the picture.
nx180-
take- nway
units
por graur
We have two substitute
Cofpes ot
The n to six since we have Gy 180°300
SIX Sides fram the Shape.
then we multiply the six
from 1800 which we
720
get
y 080 then we have sübtract
1,080 from 360° which our
result is 720°
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
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