Answer:
x = 7, and 1's measure is 120
Explanation:
Since the angles given are all interior angles of the triangle, it's safe to assume that they all add up to 180. This can be written as:
5x + 5 + 13x - 7 + 6x + 14 = 180
Now its just a matter of combining like terms
5x + 13x + 6x = 24x
5 + 14 - 7 = 12
So now we have:
24x + 12 = 180
To isolate x, we can take 12 from both sides, which makes:
24x = 168
Dividing both sides by 24 gives us:
x = 7
Angle 1 is a little harder to find without more information, but in this case, I'll assume that it's supplementary with angle FHK
Plugging x into angle FHK's equation gives us:
5(7) + 5 = 40
Since they are supplementary, angle 1 plus 40 has to be 180, so 1 has to be equal to 120.
180 - 40 = 120