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32 votes
32 votes
I know its A C or D but from there I dont know how to solve this.

I know its A C or D but from there I dont know how to solve this.-example-1
User Gaellm
by
2.6k points

1 Answer

19 votes
19 votes

Munchi, this is the solution to the problem:

Step 1:

Let's recall that angle 114 and the adjacent angle are line pair and their measures add up to 180 degrees.

In consequence, that adjacent angle measures:

180 - 114 = 66 degrees

Step 2:

Now, let's recall that the interior angles of a triangle also add up to 180 degrees. Therefore,

66 + y + y = 180

66 + 2y = 180

Subtracting 66 at both sides:

66 + 2y - 66 = 180 - 66

2y = 114

Dividing by 2 at both sides:

2y/2 = 114/2

y = 57

The correct answer is A.

User Cedric Reichenbach
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3.0k points