Answer: x= 15 and y= 12
Step-by-step explanation:
In the given figure , we have three lines parallel to each other .
We know that when two parallel lines are intersected by a transversal , then the alternate interior angles are congruent.
Also, congruent angles have equal measures.
So , Pair of alternate interior angles have equal measure.
From the given figure ,
62° and (4x+2)° are the pair of alternate interior angles.
Then , [tex]4x+2=62[/tex]
[tex]\\\Rightarrow\ 4x=62-2=60[/tex]
[tex]\\\Rightarrow\ x=\dfrac{60}{4}=15[/tex]
Also, 6y° and 72° are the pair of alternate interior angles.
[tex]6y=72\\\Rightarrow y=\dfrac{72}{6}=12[/tex]
Hence, the value of x= 15 and y= 12 .
