Question

In the given figure AB parallel CD the line segment BC and a D intersect at oh show that Z is equal toX plus Y

Answer 1

GIVEN :

➡ AB // CD, line segment BC and a D intersect at O.

TO SHOW :

➡ z = x + y

SOLUTION :

➡ AB // CD, BC is Transversal,

∠ABO = ∠DCO = y° {alternate interior angles}

➡AB // CD, AD is transversal,

∠BAO = ∠CDO = x° {alternate interior angles}

In Δ OCD,

z = x + y {exterior angle property of Δ}

HENCE, SHOWN.

HOPE IT HELPS! MARK AS BRAINLIEST.