Answered: 2х + 5 2х - 5

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.4: Subtracting Real Numbers

Problem 7WE

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Question

Use the four-step strategy to solve the problem. Use x, y, and z to represent unknown quantities. Then translate from the verbal conditions of the problem to a system of three equations in three variables.In the following triangle, the degree measures of the three interior angles and two of the exterior angles are represented with variables. Find the measure of each interior angle.

Expert Solution

Step 1

The image of the triangle is:

We know each exterior angle of a triangle is equal to the sum of opposite exterior angles.

Then we get,

2x + 5 = x + z .................. (1)

2x - 5 = x + y .................,, (2)

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