Isosceles and Equilateral Triangles

What is the

 $m\angle U$  ?

(a)  

Tags

CCSS.8.G.A.5

What is the

 $m\angle T$  ?

(a)  

Tags

CCSS.8.G.A.5

What is the measure of

 $EF$  ?

(a)  

Tags

CCSS.8.G.A.5

What is 

 $m\angle F$  ?

(a)  

Tags

CCSS.8.G.A.5

Find the value of x

(a)  

Tags

CCSS.8.G.A.5

Find the value of x.

(a)  

Tags

CCSS.8.G.A.5

Find the value of x

(a)  

Tags

CCSS.8.G.A.5

If ΔABC is an isosceles triangle and ΔDBE is an equilateral triangle, find each numbered angle measure.

Answer explanation

 $m\angle1=43\degree$  ,  $m\angle2=17\degree$  ,  $m\angle3=120\degree$  ,  $m\angle4=60\degree$  ,  $m\angle5=60\degree$  ,  $m\angle6=60\degree$  ,  $m\angle7=17\degree$  ,  $m\angle8=120\degree$  ,  $m\angle9=43\degree$  

Tags

CCSS.8.G.A.5

In ΔABC, if

 $\overline{AC}\cong\overline{CB}$  ,  $m\angle A=\left(3x+18\right)\degree$  ,  $m\angle B=\left(7x-58\right)\degree$  ,  $m\angle C=\left(2x-8\right)\degree$  , find the value of x and the measure of each angle.

Answer explanation

 $x=19$   $m\angle A=75\degree$   $m\angle B=75\degree$   $m\angle C=30\degree$  

Tags

CCSS.HSG.CO.C.10

In ΔKLM, if  $\angle K\cong\angle L$  ,  $KL=9x-40$  ,  $LM=7x-37$   and  $KM=3x+23$  , find the value of x and the measure of each side.

Answer explanation

 $x=15$  
 $KL=95$  
 $LM=68$  
 $KM=68$  

Tags

CCSS.HSG.CO.C.10