Question

(Score for Q4 1. 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= 1° mZB = (5x – 5)º M2C = (2x+20)° m_D = (3x –15)° MZE = (4x) What are the angle measures of each vertex of the garden? Show your work. B B A С E D Answer. D Focus​

Answer 1

Complete 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:

m<a=36

m<b=175

m<c=92

m<d=93

m<e=144

Explanation:

Use the given measures to answer the question. MZA= x mZB = (5x – 5)º M2C = (2x+20)° m_D = (3x –15)° MZE = (4x)

We are given five angles :

Using the sum of interior angle of a regular polygon formula :

180(n - 2) ; where, n = number of sides ;

180(5 - 2) = 180 * 3 = 540°

The sum of the 5 angles should add up to 540°

x + (5x - 5)° + (2x + 20)° + (3x - 15)° + 4x = 540

5 + 20 - 15 + 5x + 2x + 3x + 4x + x = 540

15x = 540

15x = 540

15x = 540

x = 36

mzA= 36°

mZB=(5(36)-5) = 175°

m2C =(2(36) +20) = 92°

mZD=(3(36)-15) = 93°

mZE =(4(36) = 144°