Answer:
FOR NUMBER 1
1. angleAED = 7x-40 and angleBEC= 3x + 40; given
2. 7x-40=3x+40; vertical angles are congruent
3. 4x-40=40; addition property of equality
4. 4x=80; addition property of equality
5. x = 20; division property of equaliy
FOR NUMBER 2
1. angle CED=2X+30 and angleAED=5x-46; given
2. Angle aed and angle ced are supplementary; assumed from diagram
3. 2x+30+5x-46=180; supplementary angles add upto 180
4. 7x-16=180;substitution (simplification of like terms)
5. 7x=196; addition property of equality
6. X=28; division property of equality
FOR NUMBER 3
1. angleBEC=4x-30 and angle BEA =2x ; given
2. angle bec and angle bea are supplementary; assumed from diagram
3. bec+bea = 180; definition of supplementary angles
4. 4x-30+2x=180; substitution
5. 6x=210; addition property of equality
6. X = 35; division property of equality
Explanation: