Question 53017This question is from textbook Prealgebra & Introductory Algebra
: A quadrilateral is a polygon with four sides. The sum of the measures of the 4 angles in a quadrilateral is 360 degree. If the measures of the angles of a quadrilateral are consecutive odd integers, find the measures.
This question is from textbook Prealgebra & Introductory Algebra
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! A quadrilateral is a polygon with four sides. The sum of the measures of the 4 angles in a quadrilateral is 360 degree. If the measures of the angles of a quadrilateral are consecutive odd integers, find the measures.
Four consecutive odd numbers: x, x+2, x+4, x+6
:
x + (x+2) + (x+4) + (x+6) = 360
4x + 12 = 360
4x = 360 - 12
x = 348/4
x = 87
:
Angles of 87, 89, 91, 93 add up to 360
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