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Chapter 4: Q. 100 (page 405)

Translate to a system of equation and solve.

The difference of two supplementary angles is8 degrees. Find the measures of the angles.

Short Answer

Expert verified

The measure of the angle are86and94

Step by step solution

01

Step 1. Given information

Suppose xrepresents the measure of the first angle.

and similarly, yrepresents the measure of the second angle

Now, both the angles are supplementary

Thereforex+y=180

02

Step 2. Creating the equation 

The difference of two angles is 8.

Therefore,x-y=8

03

Step 3. Finding the value x

x+y=180..........

x-y=8...........

Solve for x:

x+y=180x-y=8

2x=172

x=1722

=86


04

Step 4. Finding the value y

Substitute x=86, in the equationx+y=180

Therefore,

x+y=180

y=180-86

=94

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