+0  
 
0
538
1
avatar+96 

The exterior angles of a triangle are in the ratio 3:4:5. What is the measure (in degrees) of the least interior angle of the triangle?

 Feb 16, 2021
 #1
avatar+37159 
+2

The exterior angles sum to 360

3 /(3+4+5) * 360 = 90

4/12 *360 =  120

5 / 12 * 360 =150

 

Interior and exterior angles are supplementary (they add to 180)

 

so the smallest interior will be     150 + 30 = 180          30 degrees

 Feb 16, 2021

0 Online Users