Parallelogram ACFD is split in two parts so that ABED and FEBC are congruent isosceles trapezoids. What are the measures of all the angles of trapezoid FEBC if angle D is 48°?

Angle C = _________________
Angle F = _________________ (Hint: Angle A is congruent to Angle F)
Angle

Question

Parallelogram ACFD is split in two parts so that ABED and FEBC are congruent isosceles trapezoids. What are the measures of all the angles of trapezoid FEBC if angle D is 48°?

Angle C = _________________
Angle F = _________________ (Hint: Angle A is congruent to Angle F)
Angle <CBE = ________________
Angle <FEB = ________________

ledah · Answer

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anonymous · Answer

angle C = angle D
angle F=angle A=180-angle C
this are from the laws of parallelogram

anonymous · Answer

For Angle C: Remember: Opposite angles in parallelograms are congruent.
For Angle A: Remember: Consecutive Angles in parallelograms are supplementary.
For <CBE: Remember: The base angles of an isosceles trapezoid are congruent.
For <FEB: Remember: Remember that all angles in a trapezoid add up to 360 and that the following is true for isosceles trapezoids.
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ledah · Answer

so c would equal 48

anonymous · Answer

Yes. <C = 48º

ledah · Answer

what does supplementary mean again? Its been a while since I've heard that word..

anonymous · Answer

supplementary means <1 + <2 = 180º

ledah · Answer

angles 1&2?

ledah · Answer

how would I go about finding those?

anonymous · Answer

Supplementary just means that the angles that are supplementary add up to 180.

anonymous · Answer

If consecutive angles are supplementary, then <D + <F = 180

ledah · Answer

Ohhh Okay.

anonymous · Answer

What does <F = then?

ledah · Answer

It's an obtuse angle so... it has to be more than 160 right?

anonymous · Answer

Sorry, I had to leave... 48 + <F = 180
<F = 132

ledah · Answer

Its okay I had my brother help me. thanks for your time though :D Much appreciated

anonymous · Answer

np :)