If �Úc ≅ �Úd, m�Úc = 5x - 7, and m�Úd = 3x + 25, how many degrees are in �Úc?
Please first explain your ≅ and Ú symbols. On my computer screen, they do not make sense.
looks to me that you would be just solving
5x-7 = 3x + 25
and then putting that value of x back into 5x-7
I updated my Firefox for Mac and now am getting another unrecognizable symbol, � , in your question.
To find the measure of angle �Úc, we need to set two angle measures equal to each other and solve for x.
Given that �Úc is congruent to �Úd (�Úc ≅ �Úd), it means that their measures are equal.
So we can write the equation as:
m�Úc = m�Úd
Substituting the given angle measures, we have:
5x - 7 = 3x + 25
Now, solve this equation to find the value of x.
First, combine like terms by subtracting 3x from both sides:
5x - 3x - 7 = 3x - 3x + 25
2x - 7 = 25
Then, isolate the x term by adding 7 to both sides:
2x - 7 + 7 = 25 + 7
2x = 32
Finally, divide both sides by 2 to solve for x:
2x/2 = 32/2
x = 16
Now that we have found the value of x, we can substitute it back into either equation to find the measure of angle �Úc.
Using the equation m�Úc = 5x - 7:
m�Úc = 5(16) - 7
m�Úc = 80 - 7
m�Úc = 73
Therefore, the measure of angle �Úc is 73 degrees.