Based on the congruent triangle shown above, the values of x and y include the following;
x = 4°
y = 6°
In Mathematics and Geometry, the sum of the interior angles in a triangle is equal to 180 degrees. This ultimately implies that, we would sum up all of the angles in triangle ABC as follows;
m∠A + m∠B + m∠C =180°
148 + 18 + z = 180
z = 180 - 166
z = 14°
Since the triangles are congruent, we have the following;
5x - y = 14
3x + y = 18
8x = 32
x = 32/8
x = 4°
y = 18 - 3x
y = 18 - 3(4)
y = 6°