The value of x is 14 and RC || NF
From segment RDC ;
- 11x - 15 = 139 ( vertically opposite angles are the same)
We can solve for x thus;
11x - 15 = 139
11x = 139 + 15
11x = 154
x = 154/11
x = 14
2.)
One way to determine if RC || NF ;
- 11x - 15 and 9x + 13 would be equal by the corresponding angle theorem
Now let's test
11x - 15 = 9x + 13
11x - 9x = 13 + 15
2x = 28
x = 14
Hence, the values of x are the same.
For 9x + 13 ;
9(14) + 13
126 + 13
= 139
For 11x - 15 ;
11(14) - 15
154 - 15
= 139
Hence, RC || NF