Chapter 3.CR, Problem 21CR

### Elementary Geometry for College St...

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

Chapter
Section

### Elementary Geometry for College St...

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

# G i v e n : â€‰ â€‰ â€‰ â€‰ D B Â¯ âŠ¥ A C Â¯ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ A D Â¯ â‰… D C Â¯ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ â€‰ m âˆ  C = 70 Â° F i n d â€‰ â€‰ : â€‰ â€‰ â€‰ â€‰ â€‰ m âˆ  A D B

To determine

Explanation

Procedure used:

If two sides of the triangle are equal then the corresponding angles are also equal in the triangle.

The sum of interior angles of the triangle is 180Â°.

Given:

The triangle Î”ACD is shown in the figure below,

Figure (1)

From figure (1),

Calculation:

Consider the triangle Î”ACD,

From the given data,

The segment DBÂ¯ is perpendicular to the side ACÂ¯, then the angle formed by the perpendicular is equal to right angle. So,

mâˆ ABD=90Â°

Since, the side ADÂ¯ is congruent to the side DCÂ¯, then the congruent side have same measures. So,

Since, the two sides of the triangle are equal then the corresponding angles are also equal in the triangle

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