Could anyone hellp plsss

y = 122

Step-by-step 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

the correct answer is the second option