Answer:
Explanation:
So the first thing that you'll have to recognize is that the interior angles of a triangle add to 180°
Next, note that the angle that is given as 5y -23 is also the same angle as the inside of the triangle, as well as the angle it's written on.
recognizing both of these let's you write this.
180 = 2x+13 + 47 + 5y - 23
this doesn't help us too much because there are two unknowns and only one equation. we would need two equations to solve this :(
but.....
now note, that the angle 3x and 5y - 23 are also equal. Assuming that the lines are parallel that look parallel. I think for this problem we can assume that they are.
now revise the problem
180 = 2x+13 +47 +3x
now use your algebra skillz
180 = 5x 60
180-60 = 5x
120 = 5x
120/5 = 5x/5
24 = x
now plug x into the earlier equation
180 = 2x+13 + 47 + 5y - 23
180 = 2(24) + 13 + 47 +5y - 23
180 = 48 + 13 + 47 +5y -23
180 = 109 - 23 + 5y
180 = 85 + 5y
180 - 85 = 5y
95 = 5y
19 = y