+0  
 
0
77
1
avatar

Angle bisectors AX and BY of triangle meet ABC at point I. Find angle C in degrees, if  angle AIB = 103.

 

 Jun 21, 2022
 #1
avatar+124676 
+1

In triangle AIB ,

 

(1/2)A  + (1/2)B  + angle AIB  =180

 

(1/2) angleA + (1/2) angleB  + 103  = 180

 

(1/2)angleA + (1/2) angleB =  180  -103

 

(1/2) ( angleA + angle B)  = 77       multiply through by 2

 

angleA + angle B   =  154

 

Angle C =   180  -  154  =   26°

 

cool cool cool

 Jun 21, 2022

6 Online Users

avatar