Question

In this figure

AB || CD and CD || FG. How can you describe the angle relationship between
FGB and CDB?

(there may be more than one answer, i’m not sure)

a. Same-side interior angles

b. complementary angles

c. congruent angles

d. corresponding angles

e. supplemental angles

Answer 1

c. Congruent angles

d. Corresponding angles

e. Supplemental angles

Explanation:

Here, given:

AB || CD and CD || FG

Now let us consider ∠ FGB and ∠ CDB.

a. Same-side interior angles

FALSE, as they are not on the same interior side of the traversal.

b. Complementary angles

FALSE, as the sum of both the angles is NOT 90°.

c. Congruent angles

TRUE,as both the angles are EQUAL, so the given angles are Congruent.

d. Corresponding angles

TRUE, as here bot the line segments FG and CD are given to be parallel.

and DB here is the traversal. So the angles ∠ FGB and ∠ CDB form a pair of Corresponding angles .

e. Supplemental angles

TRUE as each angle is 90°so their sum is 180°

Hence the pair of angles ∠ FGB and ∠ CDB form a pair of Supplementary angles .