Question

x+y=w+z so prove that AOB is a line ^{sir or mam pls explain me} _how

Answer 1

GIVEN:

X + Y=W + Z

AND WE KNOW THAT A FULL ANGLE IS 360



SOLUTION
​X + Y + W + Z = 360 ( FULL ANGLE)

X + Y= W + Z ( GIVEN)
THEREFORE,
X + Y + X + Y= 360 (SINCE WE KNOW THAT X + Y = W + Z)

2X + 2Y= 360 ( COMBINING LIKE TERMS )
2[X+Y]=360 ( 2 IS COMMON )

X + Y=360/2
X + Y= 180

SINCE IT IS 180 AOB IS A LINE..