Question

if the sum of the two angle of a triangle is equal to third angle then the measures of the greatest angle is​

Answer 1

let the three angles be a,b,c

=A+B+C=180   (ASP)

IT IS GIVEN THAT ITS FIRST 2 ANGLE SUM IS EQUAL TO THE 3RD ANGLE=

(A+B SUM =C)

C+C=180

2C=180

C=90

SO THE GREATEST ANGLE IS RIGHT ANGLED TRIANGLE AS IT IS 90 DEGREE

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Answer 2

let the angles = x,y,z

GIVEN THAT

x+y = z

IN A TRIANGLE

x+y+z = 180

x+y = 180-z

so

z = 180-z

2z = 180

z = 90° which is the greatest angle

hope it's helpful