   Chapter 2.4, Problem 38E ### 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
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# The roofline of a house shows the shape of a right triangle A B C with m ∠ C = 90 ° . If the measure of ∠ C A B is 24 ° larger than the measure of ∠ C B A , then how large is each angle? To determine

To find:

The value of mCAB and mCBA.

Explanation

Given:

mC=90° and CAB=24°+CBA

Figure (1)

Approach:

The sum of interior angles of a triangle is equal to 180°.

Calculation:

mCAB+mCBA+mC=180°

Substitute 24°+CBA for CAB, and 90° for mC in equation (1).

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