   Chapter 2.CT, Problem 14CT 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

In the figure shown, suppose that ray CD bisects exterior angle ∠ A C E of Δ A B C . If m ∠ 1 = 70 ° and m ∠ 2 = 30 ° find m ∠ 4 . To determine

To find:

The value of m4.

Explanation

According to the exterior angle property, the sum of interior angle will be equal to the sum of exterior angle.

Given:

The following figure shows the given diagram.

Figure (1)

Given that, the ray CD bisects exterior angle ACE of ΔABC. If m1=70° and m2=30° find m4.

Calculation:

The sum of interior angle will be equal to the sum of exterior angle as follows.

m1+m2=m4+m5(1)

Given that, the ray CD bisects exterior angle ACE of ΔABC

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