An angle measures 14.2 degrees more than the measure of its complementary angle. What is the measure of each angle?

The first angle is 37.9° .

The second angle is 52.1°.

Step-by-step explanation:

Complementary angles are the angles whose sum makes 90 degrees.

Let's say our first angle is x:

x = first angle

According to the question, the other angle is 14.2 degrees more than the complementary angle.

Therefore, 14.2° will be added to the other angle.

first angle  = x

second angle = x + 14.2°

Since, complementary angle is equal to the sum of the two angles to be 90°

∴ x + x + 14.2°  = 90 °

2x + 14.2°  = 90 °

2x= 90° -14.2°

2x = 75.8°

x=

x = 37.9°

The first angle is 37.9° .

The second angle will be:

x+14.2°

⇒37.9°+ 14.2°

⇒52.1°

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!