Question

Help me out if u can please?

Answer 1

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