In the figure,  $\overrightarrow{QP}$  and  $\overrightarrow{QR}$  are opposite rays.   $\overrightarrow{QS}$  bisects  $\angle PQT$ .  

If  $m\angle PQS\ =\ 3x\ +\ 13$   and  $m\angle SQT\ =\ 6x\ -\ 2$ , find  $m\angle PQT$ .

(a)  

In the figure,  $\overrightarrow{BA}$  and  $\overrightarrow{BC}$  are opposite rays.   $\overrightarrow{BF}$  bisects  $\angle CBE$ .  

If  $m\angle EBF\ =\ 6x\ +\ 4$   and  $m\angle CBF\ =\ 7x\ -\ 2$ , find  $m\angle EBF$ .

(a)  

In the figure,  $\overrightarrow{BA}$  and  $\overrightarrow{BC}$  are opposite rays.   $\overrightarrow{BF}$  bisects  $\angle CBE$ .  

If  $m\angle3\ =\ 4x\ +\ 10$   and  $m\angle4\ =\ 5x\$ , find  $m\angle4$ .

(a)  

In the figure,  $\overrightarrow{BA}$  and  $\overrightarrow{BC}$  are opposite rays.   $\overrightarrow{BF}$  bisects  $\angle CBE$ .  

If  $m\angle3\ =\ 6y\ +\ 2$   and  $m\angle4\ =\ 8y\ -\ 14\$ , find  $m\angle CBE$ .

(a)  

In the figure,  $\overrightarrow{BA}$  and  $\overrightarrow{BC}$  are opposite rays.   $\overrightarrow{BD}$  bisects  $\angle EBC$ .  

If  $m\angle EBD\ =\ 4x\ +\ 16$   and  $m\angle DBC\ =\ 6x\ +\ 4\$ , find  $m\angle EBD$ .

(a)  

In the figure,  $\overrightarrow{BA}$  and  $\overrightarrow{BC}$  are opposite rays.   $\overrightarrow{BD}$  bisects  $\angle EBC$ .  

If  $m\angle EBD\ =\ 4x\ -\ 8$   and  $m\angle EBC\ =\ 5x\ +\ 20$ , find  $m\angle EBC$ .

(a)  

In the figure,  $\overrightarrow{BA}$  and  $\overrightarrow{BC}$  are opposite rays.   $\overrightarrow{BD}$  bisects  $\angle EBC$ .  

If  $m\angle EBD\ =\ 4x\ -\ 8$   and  $m\angle EBC\ =\ 5x\ +\ 20$ , find the value of x.

(a)