   Chapter 2.CR, Problem 15CR ### 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
577 views

# For Review Exercises 12 to 15 , find the values of x and y . To determine

To find:

The values of x and y.

Explanation

Given:

In ΔABC and ΔABD,

mDBC=mDBAmDAB=mDAC

Figure (1)

Property:

(1) In a triangle the sum of all interior angles is 180°.

(2) Measure of complete angle is 360°.

Calculation:

In ΔABC the sum of all interior angles is 180°.

So,

mC+mDBC+mDAC=180°.

Substitute 100 for mC in the above equation.

100+mDBC+mDAC+mDBA+mDAB=180°mDBC+mDAC+mDBA+mDAB=180°100°mDBC+mDAC+mDBA+mDAB=80°

Substitute mDBC for mDBA and mDAC for mDAB in the above equation.

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