AB is parallel to CD
Find the value of X
Find the value of Y

∠y° = ∠69°

∠x = ∠69°

Step-by-step explanation:

1) The question relates to parallel line theorem

The given parameters are;

AB is parallel to CD

∠111° and ∠y° are consecutive interior angles

∠69° and ∠x° are alternate interior angles

When two parallel lines are crossed by a common transversal, the consecutive interior angles are supplementary (sum up to 180°), and the alternate interior angles are equal

Therefore, we have;

∠111° + ∠y° = 180°

∠y° = 180° - ∠111° = ∠69°

∠y° = ∠69°

2) For the alternate interior angles, ∠69° and ∠x°, we have;

Alternate angles are equal, therefore ∠x = ∠69°

c

step-by-step explanation:

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer