56.0k views
2 votes
In the parallelogram what angle is supplementary to BCD

2 Answers

2 votes

I'm going to answer in statement proof form.

Statement | Proof

mANGLE(ABC) is congruent to mANGLE(ADC) Properties of a Parallelograms

3(BCD)+(BCD)=180 Supplementary Property of Parallelograms

4(BCD) = 180 Simplify

BCD=45 Division property of Equality

180-45=ABC Properties of Supplementary Angles

135=ABC Simplify

135=ADC Transitive property of equality

User Arman Ebrahimpour
by
9.0k points
6 votes
The sum of any two consecutive angles of a parallelogram is equal to the ... The angles BCD and DCF are adjacent supplementary angles and make in sum the
User LCoelho
by
7.1k points

No related questions found