The measure of one angle is 32° less than the measure of its supplement. write an equation and solve it to find the measurements of the angles.

Let's make variables for two angles first. One angle will be x, and the other will be y.

Since they're supplementary, we know x + y = 180

We also know x = y - 32, since it's 32 degrees less than it's supplement.

Input the value of x into the first equation and...

y - 32 + y = 180

2y - 32 = 180

Add 32 to both sides:

2y = 212

Divide both sides by 2:

y = 106

We can solve for x in two ways.

One, we can subtract 32 from 106 since x is 32 degrees less.

Or, we could also just subtract 106 from 180 since we know the angles are supplementary.

x = 74

74 degrees and 106 degrees. The equation is y - 32 + y = 180, or x + y = 180

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

but there’s no any figure there!