In each of the following figures, find x and y when AB।।CD
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(i)
AB || CD
=> X = 64⁰
angle sum property of triangle is 180⁰
A + B + BCA = 180⁰
72⁰ + 64⁰ + BCA = 180⁰
136⁰+ BCA = 180⁰
BCA = 180⁰-136⁰
BCA = 44⁰
BCA + X + y = 180⁰(linear pair)
44⁰ + 64⁰ + y = 180⁰
108⁰ + y = 180⁰
y = 180⁰-108⁰
y = 72⁰
ii)
AB || CD
=> y = 63⁰
angle sum property of triangle is 180⁰
ACB + 57⁰ + 63⁰ = 180⁰
ACB + 120⁰ = 180⁰
ACB = 180⁰-120⁰
ACB = 60⁰
ACB + y + x = 180⁰(linear pair)
60⁰ + 64⁰ + x = 180⁰
124⁰+ x = 180⁰
x = 180⁰-124⁰
x = 56⁰
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