Step-by-step explanation:
We can see that:-
[tex]x - 10[/tex]
and
[tex]x - 11[/tex]
are in Opposite manner , so, we will add three angles together. These are as follows:-
[tex](x - 10) + (x - 11) + (3x + 6) = 180 ^ \circ[/tex]
You, know why I did 180°, that is because these all angles form a straight line and we know that straight lines have angle of 180°.
Continuing with the equation:-
[tex]x - 10 + x - 11 + 3x + 6 = 180[/tex]
[tex]5x - 21 + 6 = 180[/tex]
[tex]5 x - 15 = 180[/tex]
[tex]5x = 180 - 15[/tex]
[tex]5x = 165[/tex]
[tex]x = 33 ^ \circ[/tex]
Now, in order to find y we need the value of 3x+6. And when we will find it, it will be Vertically Opposite hence the answer will directly be placed to find y.
[tex]3(33) + 6[/tex]
[tex] = 99 + 6[/tex]
[tex]y = 105 ^ \circ[/tex]
Hope it helps:D
