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
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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.
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