We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
62
1
avatar+115 

What is the measure (in degrees) of the smallest interior angle of a triangle in which the exterior angle measures have the ratio 3:4:5?

 Sep 8, 2019
 #1
avatar+103858 
+1

The sum of the exterior angles   = 360°

 

And   the largest  exterior angle will be supplemental to the smallest interior angle

 

And the largest exterior angle  =   (5 / [ 3 + 4 + 5b] ) * 360  =   (5/12) (360)  = 5 * (360/12) = 5 * 30  = 150°

 

So....the smallest interior angle  = 180  - 150   =  30°

 

 

cool cool cool

 Sep 8, 2019

7 Online Users

avatar