In this figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠4=30°. What is m∠8?

Enter your answer in the box.

°
parallel lines A B and C D are cut by a transversal forming 8 angles labeled 1 to 8. The transversal intersecting line A B form angles 1, 2, 3, and 4 clockwise from top left. The transversal intersecting line C D form angles 5, 6, 7, 8 clockwise starting from top left.

m∠8 = 30°

Step-by-step explanation:

Since line AB is parallel to line CD, and m∠4 = 30°, therefore:

m∠4 and m∠8 are corresponding angles.corewslinding angles are congruent.

Therefore, this means that their measure would be equal to each other, since they are congruent.

Thus:

m∠8 = 30°

what is the model?

step-by-step explanation:

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!