I3slyy I3slyy
  • 14-09-2022
  • Mathematics
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In the figure below, j Il n. Find the values of y and x.

In the figure below j Il n Find the values of y and x class=

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rvkacademic
rvkacademic rvkacademic
  • 14-09-2022

Answer:

y = 105

x = 31

Step-by-step explanation:

We have y and 75 as consecutive interior angles.
(Consecutive interior angles are are found between the two parallel lines and on the same side of the transversal)

Sum of two consecutive interior angles = 180°

so we have y + 75 = 180
y = 180-75 = 105

So y = 105

y and (3x+12) are opposite angles and are equal
So 3x+12 = y
3x + 12 = 105
3x = 105-12 = 93
x = 93/3 = 31

So x = 31

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