The angles of a triangle are in A.P .If the greatest angle is equal to sum of other two ,find the angles . No links pls !! Answer soon!!( Using ap)

Let the measure of least angle be x

and the measure of greatest angle = x+remaining angle 

as, we know that, sum of all angles of a tr. = 180 degree

therefore,

x+remaining angle +x+remaining angle = 180°

2x+2 (remaining angle) = 180°

x+remaining angle = 90°

remaining angle = 90°-x

the measure of greatest angle = x+90°-x=90°

acc. to the question, 

x, 90°-x, 90° are in A.P.

In an A.P. , the difference b/w two consecutive terms is constant.

90°-x-x=90°-90°+x

90°-2x=x

90°=x+2=3x

or  x=30°

thus, the measure of the angles of tr. are 30°,60° and 90°

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