Q. 130

If one angle of a triangle is 60° and the other two angles are in the ratio 1 : 2, find the angles.

Answer :

Given: one angle of triangle is 60°


Other 2 angles are in ratio 1:2


Formula Used/Theory:-


Angle sum property


Sum of all angles of triangle is 180°


1 angle is 60°


And other 2 angles are in ratio 1:2


The;


Let 2 angles x,2x


By angle sum property


60° + x + 2x = 180°


3x = 180° -60° = 120°


X = = 40°


The 2 angles of triangle are 40°;80°


Result:- The all 3 angles of triangle are 40°;80°;60°


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