Find the measure of angle A.

Step-by-step explanation:

29. x + 60 + 2x + 80 + 40 = 180

      3x + 180 = 180

       3x = 0

        x = 0

m<A= 0 + 60 = 60

30. 2(4x + 5) + 90 = 180

      8x + 10 + 90 = 180

     8x + 100 = 180

      8x = 80

      x= 10

   m<A= 4(10) + 5 = 40 + 5 = 45

31. 10x + 11x + 6 + 90 = 180

   21x + 96 = 180

   21x = 84

   x = 4

  m<A= 10(4)= 40

32. 5x + 5x + 130 = 180

     10x + 130 = 180

   10x = 50

   x = 5

m<A= 5(5)= 25

33. 8x + 2 + 3x + 15 + 75 = 180

     11x + 92 = 180

    11x = 88

    x = 8

m<A= 3(8)+15= 24+15= 39

34. x + 64 + x + 54 + 80 = 180

     2x + 118 = 180

    2x = 62

    x = 31

    m<A= 31 + 54= 85

step-by-step explanation:

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.