Answer:
x = 7
y = 4
Explanation:
You want the values of x and y given the relations shown in the figure.
Congruence
The sides opposite congruent angles in a triangle are congruent. This tells us that all of the marked sides have the same length.
y +12 = 5y -4
16 = 4y . . . . . . . . add 4-y
y = 4 . . . . . . . . . divide by 4
And ...
y +12 = 3x -5
4 + 12 + 5 = 3x . . . . add 5
x = 21/3 = 7 . . . . . . . divide by 3
The values of x and y are 7 and 4, respectively.
<95141404393>