Considering congruent triangles, y is 48 degrees. In △FDE, F = 2x - 48. Using the angle sum property, x is found to be 36. Thus, x = 36 and y = 48.
To find the values of x and y, consider the congruent triangles △ABC and △FDE. Since angle C in △ABC is equal to angle E in △FDE and is given as 108 degrees, angle B in △ABC is equal to angle D in △FDE and is labeled as y. Therefore, y = 48 degrees.
Now, in △FDE, angle F is represented as 2x - y. Since we've found y to be 48 degrees, we can substitute it into the equation to get F = 2x - 48.
Now , by using angle sum property of a triangle we can find the value of x too.
In △FDE
F= 2x - 48, E = 108 and D = 48
D + E+ F = 180
48 + 108 + 2x - 48 = 180
2x + 156 = 228
2x = 72
x = 36
Therefore, the value of x is 36 and the value of y is 48.
The question probable may be:
In the figure below, △ABC ≅ △FDE. Find the value of x and y.
In △ABC Angle C = 108 which is also equal to angle E of △FDE. In △ABC Angle B = 48 which is also equal to angle D of △FDE which is labelled as y. In △FDE angle F = 2x - y. Hint find the value of y first.