Q. 1074.0( 6 Votes )

The measure of three angles of a triangle are in the ratio 5 : 3 : 1. Find the measures of these angles.

Answer :

Given:


Measure of three angles of a triangle are in the ratio 5 : 3 : 1


Formula Used/Theory:-


Angle sum property


Sum of all angles of triangle is 180°


If the ratio is 5:3:1


Then;


The 3 angles will be 5x,3x,x


Sum of angles will be 180°


5x + 3x + x = 9x


9x = 180°


x = = 20°


angles are 5×20°, 3× 20°, 1×20°


100°, 60°, 20°


Result:- the angles of triangle are 100°,60°,20°


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