If �Úc ≅ �Úd, m�Úc = 5x - 7, and m�Úd = 3x + 25, how many degrees are in �Úc? 9�‹ 16�‹
52�‹ 73�‹
To find the measure of angle �Úc, we need to set up an equation and solve for x.
Since angles �Úc and �Úd are congruent (≅), their measures must be equal.
We are given that m�Úc = 5x - 7 and m�Úd = 3x + 25.
So, we set up the equation:
5x - 7 = 3x + 25
Next, we solve the equation:
5x - 3x = 25 + 7
2x = 32
x = 32/2
x = 16
Now that we have found the value of x, we can substitute it back into the expression for m�Úc to find its measure:
m�Úc = 5x - 7
m�Úc = 5(16) - 7
m�Úc = 80 - 7
m�Úc = 73
Therefore, the measure of �Úc is 73 degrees.