Question

Can somebody please help me out with this ??

Answer 1

Answer and Step-by-step explanation:

We are told that l and k are parallel (which is shown with the || symbol).

Line n therefore, is a transversal (a line that intersects two parallel lines).

We are now told to find y and x.

Since we know the lines are parallel, we can use the vertical angles theorem to say that y is equal to 4x - 15.

With angle 71, we can say that the angle that is to the left of (4x - 15) is also 71. When these two are added together, they equal 180. So let's do that.

71 + 4x - 15 = 180

Subtract 71, add 15, then divide by 4.

4x - 15 = 109

4x = 124

x = 31

31 is equal to x.

Now, we plug it into the equation so that it will equal to y.

4(31) - 15 = y

124 - 15 = y

y = 109

109 is equal to y.

We can verify this by using the supplementary angles theorem for y and 71, when 71 is above y. When y and 71 is added together, they add up to 180. So, 180 - 71 is equal to 109, which is y.

31 is equal to x.

109 is equal to y.

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Answer 2

Y=109 X=31

Explanation:

Alright, so the angles that you have to find the values for make up 180 degrees. Since you have 71 degrees on the bottom, and according to a certain theorem I forgot about, that means that the angles you're solving for equal 109 degrees.

X= 31 because 4 x 31 = 124 and then 124 - 15 equals 109