In the parallelogram what angle is supplementary to bcd

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

use substitution to solve each system of equations. y = x + 5 3x + y = 25 62/87,21 y = x + 5 3x + y = 25 substitute x + 5 for y in the second equation. substitute the solution for x into either equation to find y. the solution is (5, 10)

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