2.7k views
4 votes
In the figure, AOB II (parallels) CD, find the values of x and y.

In the figure, AOB II (parallels) CD, find the values of x and y.-example-1
User Anqit
by
8.6k points

1 Answer

2 votes

Answer:

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

-------------------------------

∠ 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

User Rmesteves
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories