15.a) Two parallel lines are cut by a transversal . If the interior angles on the same side of transversal are (2y-3)° and (3y-12)°, then find these angles.
b) If a transversal intersects two parallel lines and the difference of two interior angles on the same side of a transversal is 20°, then find these angles.
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a . 2y - 3 + (3y - 12) =180
on solving gives 5y = 165
y = 37
b then x+y =180
y = 180-x
given x-y = 20
x-(180-x) =20
on solving
2x = 200
x = 100
therefore y is 80
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Step-by-step explanation:
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