Question

if x+y=w+z, then prove that AOB is a line​

Answer 1

Answer:

$\blue{\mathfrak{\underline{\large{Given}}}:} \\x + y = w + z \\ \blue{\mathfrak{\underline{\large{To \: Prove}}}:} \\ AOB \: is \: a \: line \\ means :x + y = 180° \\ w + z= 180° \\ \blue{\mathfrak{\underline{\large{Proof}}}:} \\ \angle AOC + \angle BOC + \angle BOD + \angle AOD = 360° \\ (x + y) + (w+ z) = 360 \degree \\ (w+ z) + (w+ z) = 360 \degree \\ 2(w+ z) = 360 \degree \\ w+ z = 180 \degree \\ similarly, \: \: \: \: \: x + y = 180 \degree \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \blue{hence, \: proved.} \\ \\ \red{\mathfrak{\underline{\large{Hope \: It \: Helps \: You }}}} \\ \green{\mathfrak{\underline{\large{Mark \: Me \: Brainliest}}}}$