   Chapter 2.5, Problem 31E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
36 views

# A father wishes to make a baseball home plate for his son to use while practicing pitching. Find the size of each of the equal angles if the home plate is modeled on the one in (a) and if it is modeled on the one in (b). .

To determine

a)

To find:

The size of each of the equal angles if the home plate is modeled on the figure (a).

Explanation

Given:

The following figure shows the given diagram.

Assumptions used:

mA=mB=mCmD=mE=90°

Formula used:

The formula to calculate the sum of interior angles of a regular n sided polygon is given by,

S=(n2)180°

Calculation:

Substitute 5 for n in the above mentioned formula to obtain the value of S.

S=(52)180°=3×180°=540°

Write the equation for sum of interior angles of the given polygon.

mB+mA+mC+mD+mE=540°mB+mA+mC=540°(mD+mE)

Substitute 90° for mD, and mE in the above equation

To determine

b)

To find:

The size of each of the equal angles if the home plate is modeled on the figure (b).

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