In the given figure, AB || DC and AD || BC, and AC is a diagonal. If ∠BAC = 35°, ∠CAD = 40°, ∠ACB = x° and ∠ACD = y°, find the value of x and y

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Solution

$Given : AB ∥ DC AD ∥ BC ∠ BAC = 35 ° ∠ CAD = 40 ° ∴ ∠ BAC = y = 35 ° (alternate angles when AB ∥ DC) ∠ CAD = x = 40 ° (alternate angles when AD ∥ BC) ∴ x = 40 y = 35$

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In the given figure, AB || DC and AD || BC, and AC is a diagonal. If ∠BAC = 35°, ∠CAD = 40°, ∠ACB = x° and ∠ACD = y°, find the value of x and y

Given: AB∥ DCAD∥BC∠BAC = 35°∠CAD =40°∴ ∠BAC = y= 35° (alternate angles when AB∥DC)∠CAD = x = 40° (alternate angles when AD∥BC)∴ x = 40 y= 35

$Given : AB ∥ DC AD ∥ BC ∠ BAC = 35 ° ∠ CAD = 40 ° ∴ ∠ BAC = y = 35 ° (alternate angles when AB ∥ DC) ∠ CAD = x = 40 ° (alternate angles when AD ∥ BC) ∴ x = 40 y = 35$