Bcde is a parallelogram. what is the measure of ∠bec? enter your answer in the box.

80°

Step-by-step explanation:

∠CBE = 60°

∠BCE = ∠CED = 40°

∠BCE + ∠CBE + ∠BEC = 180°     Substitute values

∠BCE + 60° + 40° = 180°

∠BCE + 100° = 180°                     Subtract 100° from each side

∠BCE = 80°

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)