�Úc ≅ �Úd, m�Úc = 5x - 7, and m�Úd = 3x + 25, how many degrees are in �Úc
To find the measure of angle �Úc, we need to set the measure of angle �Úc equal to the measure of angle �Úd and solve for x.
Given:
�Úc ≅ �Úd
We can equate their measures:
5x - 7 = 3x + 25
Now, let's solve for x:
5x - 3x = 25 + 7
2x = 32
x = 32/2
x = 16
Now that we have the value of x, we can substitute it back into one of the angle measures to find the measure of angle �Úc:
m�Úc = 5x - 7
m�Úc = 5(16) - 7
m�Úc = 80 - 7
m�Úc = 73
Therefore, angle �Úc has a measure of 73 degrees.