In the given figure, AB || CD. Find the measure of ∠y.

Question

Step by step answer please.

Answer 1

y= 70 degrees

since AB and CD are parallel

Angles BAC and ACD are equal = 110 degrees

ACD =110

ACD+y = 180, as together they form a straignt line. They're supplementary angles

y = 180-110 = 70 degrees

or extend CD up to the left to some point, call it E

then Angle ECR = Angle ACD, since they're both formed by the same line and a parallel line

ECR =110

ECR +y = 180

y =180-110= 70 degrees

Or BAC = ACD=110,as they're both formed by the same line and a parallel line

and ACD +y = 180

y = 180-110 =70 degrees