Question

Plsssss answerrr
Directions if l || m solve for x and y

Answer 1

x = 11

y = 3

Explanation:

Okay so we know that l is parallel to m. We also know that (9x + 25) and (13x - 19) are the same because they are corresponding angles. So to find x just set them equal to each other and solve.

(9x + 25) = (13x - 19)

-9 -9

---------------------

25 = 4x - 19

+19 +19

-----------------

44 = 4x divide both sides by 4 and x equals 11

Now, we know that a straight line equals 180º so we just plug x into the first equation, and set both equations to equal 180. It should look like

(13 x 11 - 19) + (17y + 5) = 180

13 x 11 = 143

(143 - 19) + (17y + 5) = 180

143 - 19 = 124 + 5 = 129

129 + 17y = 180

-129 -129

17y = 51

Divide by 17 from both sides and y = 3

Answer 2

x = 11 and y = 3

Explanation:

(13x - 19) and (9x + 25) are corresponding angles and congruent, thus

13x - 19 = 9x + 25 ( subtract 9x from both sides )

4x - 19 = 25 ( add 19 to both sides )

4x = 44 ( divide both sides by 4 )

x = 11

Then

13x - 19 = 13(11) - 19 = 143 - 19 = 124

(17y + 5) and (13x - 19) are adjacent angles and are supplementary, thus

17y + 5 + 124 = 180, that is

17y + 129 = 180 ( subtract 129 from both sides )

17y = 51 ( divide both sides by 17 )

y = 3