The measures of the three angles of a triangle form an arithmetic sequence. What must be the measure, in degrees, of at least one of its angles?


Let the three angles be    a1,  a1 + d  and  a1 + 2d


So....we have that


a1  +  (a1 + d)  +  (a1 + 2d)  =  180°


3a1  + 3d  =  180°          divide through by 3


(a1  +  d)   =  60°


So......one of the angles must be 60°



cool cool cool

CPhill  Jan 10, 2018

Thank you so much!

AnonymousConfusedGuy  Jan 10, 2018

8 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.