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THE SUM OF THREE ANGLES IN A TRIANGLE A+B+C=180 HERE LET US CONSIDER A=B+C THEN B+C+B+C=180 2B+2C=180 B+C=90 SO ANGLE A SHOULD BE 90 SO IT IS A RIGHT ANGLED TRIANGLE

Let A,B,C are the angles of triangle. given A=B+C, A+B+C=180 (angle sum property) A+A=180 (given A=B+C) 2A=180 A=180/2 A=90. ( if one angle of a triangle is 90 it is an right angled triangle) hence proved.