Question

What is the value of x?

Answer 1

3(17)-24 = 27 and (17)+10 = 27 so the answer is 17

Answer 2

Using a theorem (yes i forgot the name of the theorem), we know that because the angles opposite of the sides are congruent, the sides must be congruent aswell. Therefore:

3x - 24 = x + 10

Now solve, starting by using the addition and subtraction properties of equality:

3x - 24 + 24 = x + 10 + 24

3x = x + 34

3x - x = x - x + 34

2x = 34

Now, use the division property of equality:

(2x)/2 = (34)/2

x = 17

Therefore, x = 17.

Hope this helps! :)