If lines l and m are parallel, find x, y, and z. explain your reasoning.

The answer to your question is:

                                                     x = 43°, y = 137° and z= 43°

Step-by-step explanation:

-If lines L and M are parallel, that means that 43° and z are corresponding angles and they measure the same.

                                           z = 43°

- y and 43° are supplementary angles , so

                                          y + 43 = 180

                                          y = 180 - 43

                                          y = 137°

- x and z are vertical angles, so they measure the same

                                          x = z = 43°

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.