Answer:
y = 122
Explanation:
let us start by adding some angles ourselves.
we are going to add angles at the right side of 150 and at the left of y
we can call the angle beside 151 x and the angle beside y A
first of all, let us find the value of x
now, angles 151 and x add up to 180 because angles on a straight line add up to 180 and the two angle are on a straight line of their own
which means;
151 + x = 180
when we collect like terms,
x = 180 - 151
x = 29
therefore, our x = 29
next, we find A
now, angles 29 ( our x ), 93 and our A all add up to 180 because the sum of angles in a triangle is 180 and our angles are in a triangle ( at least an upside down one with lines shooting out from every end )
that is;
29 + 93 + A = 180
collect like terms
A = 180 - 29 - 93
A = 180 - 122
A = 58
so, now that we have our angle A, the next thing to do is the same thing we did to get angle x,
we can see that A and y are both on a straight line of their own which means that they both add up to 180 degrees
that is;
A + y = 180
and we know that A = 58
so;
58 + y = 180
we collect like terms to have
y = 180 - 58
y = 122
therefore, y = 122
if you might have noticed, y is the same as x and 93
and that is correct because according to a rule in math, the value of an exterior angle of a triangle is equal to the sum of its opposite interior angles of the triangle. this can be explained using our question above