The measure of the supplement of an angle is 20° more than three times the measure of the original angle. find the measures of the angles

The measure of the supplement of an angle is 20° More than three times the measure of the original angle. The angles are 40 degrees and 140 degrees.

Solution:

Given, The measure of the supplement of an angle is 20° More than three times the measure of the original angle.  

We have to Find the measures of the angles.

Let the original angle be n degrees.

We know that, sum of supplementary angles is 180, then, supplementary angle of n will be 180 – n.

Now according to the given information, 180 – n = 20 + 3 x n

180 – n = 20 + 3n  

3n + n = 180 – 20

4n = 160

n = 40

Then, supplementary angle is 180 – 40 = 140 degrees.

Hence, the measures of two supplementary angles are 40 degrees and 140 degrees.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

a

step-by-step explanation: