SOLUTION: Given: m∠DBA=45°; m∠DEB=45°; Prove: ∠DBC ≅ ∠FEB

Algebra.Com
Question 1002296: Given: m∠DBA=45°; m∠DEB=45°;
Prove: ∠DBC ≅ ∠FEB
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
No info about C or F.
Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
Given: m∠DBA=45°; m∠DEB=45°; Prove: ∠DBC ≅ ∠FEB



1. ∠DBA and ∠DBC are supplementary   1. they form a linear 
                                         pair.
2. m∠DBA + m∠DBC = 180°              2. the measures of 
                                         supplementary   
                                         angles total 180°
3. m∠DBA = 45°                       3. Given

4. 45° + m∠DBC = 180°                4. Equals may be 
                                        substituted for
                                        equals

5. m∠DBC = 135°                      5. Equals 45° may be 
                                        subtracted from
                                        equals

6. ∠DEB and ∠FEB are supplementary   1. they form a linear 
                                         pair.
2. m∠DEB + m∠FEB = 180°              2. the measures of 
                                         supplementary   
                                         angles total 180°
3. m∠DEB = 45°                       3. Given

4. 45° + m∠FEB = 180°                4. Equals may be 
                                        substituted for
                                        equals

5. m∠FEB = 135°                      5. Equals 45° may be 
                                        subtracted from
                                        equals   

6. ∠DBC ≅ ∠FEB                      6. Angles with equal 
                                        measures are
                                        congruent.

Edwin
RELATED QUESTIONS

Look at the figure shown below. A student made the table below to show the steps to... (answered by solver91311)
http://homework.russianschool.com/resource?key=54104jiope7r9 Given:... (answered by solver91311)
If m∠BEC = 5x-25 and m∠DEA = 7x-65, find m∠BEC, m∠DEA,... (answered by Edwin McCravy)
Use the figure below to answer the following questions. ∠ABD and ∠DBC are... (answered by Alan3354)
If ∆PQR ≅ ∆MNS, which of the following is true? PQ ≅ MS... (answered by richard1234)
Ok I am told to write a paragraph proof. Given: m∠A + m∠B = m∠B +... (answered by solver91311)
GIVEN:∠RST≅∠WSU... (answered by MathLover1)
If ∠m ≅ ∠p, m∠m = 9x - 2, and m∠p = 4x + 18, how many... (answered by jim_thompson5910)
If ∠m ≅ ∠p, m∠m = 9x - 2, and m∠p = 4x + 18, how many... (answered by solver91311)