In the adjacent figure AB|| CD., …
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Posted by Rathlavath Nithin 5 years ago
- 1 answers
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Gaurav Seth 5 years ago
Given In the adjacent figure AB||CD; CD || EF and y:z =3:7, find x.
y / z = 3 / 7
y = 3 / 7 z
CD is parallel to EF
y + z = 180 (alternate interior angle)
3/7 z + z = 180
3z + 7z / 7 = 180
10 z = 1260
z = 126 degree
So y = 3/7(126)
y = 54 degree
AB is parallel to CD
There is a transversal in between. We know that sum of interior angles of same side of transversal is supplementary. So
x + y = 180
x + 54 = 180
x = 180 - 54
x = 126 degree
AB is also parallel to EF and x = z.
Hence x = 126 degree
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