Question

In the given figure find the value of x and y if AB parallel to CD

Answer 1

x = 42

y = 38

Explanation:

for y:

there is a corresponding angle at 58° so y + 20 must equal to 58. ∴y = 38°

for x :

first locate the straight angle at CD. The angle opposite 58° must also be 58° as it is vertically opposite. We have two values here.. 58° and 22°. Use your knowledge of straight angles and add 22 + 58, which equals to 80. Now subtract from 180 which = to 100°. We know that the angle sum of a Δ is 180° so add 38 and 100, which will give you 138°. Subtract from 180 to give you a total of 42°

Sorry if this was very lengthy haha

hope it helps:)