An angle measures 106.4° less than the measure of its supplementary angle. What is the measure of each angle

The two supplementary angles are 10 and 170 degrees.

Step-by-step explanation:

Two angles are supplementary when that add up to 180 degrees. In this case, we are given that one of the two angles is 160 degrees more than the other. We can construct the following equation. x + ( x + 160 ) = 180 x

represents the degree measure of the smaller angle. Now, all we need to do is solve the equation for x. 2 x + 160 = 180    2 x = 20 x = 10

Now that we have the value of the smaller angle, we can easily solve for the larger angle. We are told that it is 160 degrees larger than the other one.

10 + 160 = 170. Therefore, the two supplementary angles are 10 and 170 degrees.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

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