   Chapter 5.3, Problem 32E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Δ A B F ∼ Δ C B D with obtuse angles at vertices D and F as indicated. If m ∠ B = 44 ° , and m ∠ A : m ∠ C D B = 1 : 3 , find m ∠ A . Exercises 31, 32

To determine

To find:

The degree of A by using the given information.

Explanation

Definition:

CASTC:

Corresponding angles of similar triangles are congruent.

Description:

Given that ΔABFΔCBD with obtuse angles at vertices D and F as indicated. If mB=44°, and mA:mCDB=1:3. That is, mAmCDB=x3x.

Hence, mA=x and mCDB=3x.

The given figure is shown below.

Figure 1

From the given figure, it is observed that there are two triangles ABF and CBD and which is given that two triangles are similar.

Now draw the two triangles separately as shown below.

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