Question

In the figure, AOB II (parallels) CD, find the values of x and y.

Answer 1

x = 5, y = 20

Explanation:

Since AB and CD are parallel, then

∠ AOC and ∠ OCD are Alternate angles and congruent, thus

12x + 8 = 68 ( subtract 8 from both sides )

12x = 60 ( divide both sides by 12 )

x = 5

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∠ OCD and 5y + 12 are adjacent angles and supplementary, thus

5y + 12 + 68 = 180 , that is

5y + 80 = 180 ( subtract 80 from both sides )

5y = 100 ( divide both sides by 5 )

y = 20