Question

Kenny is putting a brick border around his irregular shaped garden. Before installing the border, Kenny must

cut the bricks to fit the angles of the garden. Use the given measures to answer the question.
mzA=x
mZB=(5x-5)
m2C =(2x +20)
mZD=(3x-15)
mZE =(4x)
What are the angle measures of each vertex of the garden? Show your work.

Answer 1

m<a=36

m<b=175

m<c=92

m<d=93

m<e=144

Explanation:

since the shape has 5 sides we can determine the sum of the measure of interior angels with the equation 180×(n-2). replacing n with 5 would bring us to 180×3 equalling 540. since all the angels must add up to 540 we can combine them together to get it to 15x=540. simplify to get x=36. sub in x in the equations.