Angle Bisectors and Angle Addition Postulate Practice

Find the measure of <1 if  $m<CUB=78^o$  

 $m\angle HAK=4x-2$  , $m\angle KAW=2x-5$  ,  $m\angle HAW\ =\ 77^o$  

Write an equation to set up this problem.

(a)  

 $\overrightarrow{IE}$  bisects  $\angle FIR$  .  If the  $m\angle FIR\ =124\$  and  $m\angle RIE\ =\ 7x\ -\ 1$  , find the value of x.

 $m\angle TRI=3x-5,\ m<IRB\ =\ x\ +\ 27,\$  and  $m\angle TRB=86\degree.$    Does  $\overrightarrow{RI}$  bisect  $\angle TRB$  ?

(a)  

What value of x did you get for #5 when you solved your equation?

 $m<WOV=132\degree.\ \ \overrightarrow{OL}$  bisects  $\angle WOV$  .   $m\angle LOV=5x+1.$  Find the value of x.

 $\overrightarrow{BD\ }$  bisects  $\angle ABC.$  Solve for x and find  $m<ABC.$  
 $m\angle ABD=3x+20$  and  $m\angle CBD=6x-16$  

Find the  $m\angle NEO$  .

Find the  $m\angle DEO$  .