Answer:
ABDE is a parallelogram.
CE=2.7 cm Reason: The diagonals bisect each other. CE=AC.
DC=3.08 cm Reason: The diagonals bisect each other. This is half of DB. Just like CB is half of DB.
mAngleABE=104 degrees Reason: Opposite angles are congruent in a parallelogram.
mAngleDEB=76 degrees Reason: Consecutive angles in a parallelogram are supplementary.
Step-by-step explanation:
You have a parallelogram because both of your pairs of opposite sides are parallel.
CE=2.7 cm because CE is congruent to AC. The diagonals of a parallelogram bisect each other. Bisect means to cut into equal halves.
DC=3.08 cm because DC is congruent to CB which means the measurement of DC is half the length of DB.
mAngleABE=mAngleADE because opposite angles of a parallelogram are congruent. So the mAgnleABE=104 degrees.
AngleDEB is supplementary to AngleADE because they are consecutive angles in a parallelogram. This means mAngleDEB=180-104=76 degrees.
