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Scorpion4ik [409]
3 years ago
6

Solve for x Please help

Mathematics
1 answer:
Elodia [21]3 years ago
5 0

Answer:

The answer to your question is below

Step-by-step explanation:

1) Alternate interior angles measure the same

       10x - 10° = 100°

       10x = 100° + 10°

        10x = 110°

           x = 110° / 10°

           x = 11°

2) Alternate exterior angles measure the same

       x + 99° = 90°

       x = 90° - 99°

       x = -9°

3) Supplementary angles measure 180°

       (6x + 12) + (14x + 8) = 180°

        6x + 12 + 14x + 8 = 180°

        20x + 20 = 180

        20x = 180 - 20

        20x = 160

            x = 160 / 20

            x = 8

4)  Alternate exterior angles measure the same

           26x + 1 = 131°

            26x = 131° - 1°

            26x = 130°

            x = 130° / 26°

            x = 5

5) Consecutive interior angles measure 180°

             x + 100 + 85° = 180°

             x + 185 = 180

            x = 180 - 185

              x = -5

             

6) Corresponding angles measure the same

            7x - 7 = 70

            7x = 70 + 7

            7x = 77

              x = 77 / 7

              x = 11

7) Supplementary angles measure 180°

            (12x + 8) + (100°) = 180°

              12x + 8 + 100 = 180

              12x + 108 = 180

              12x = 180 - 108

              12x = 72

                  x = 72 / 12

                  x = 6

8) Consecutive interior angles measure 180°

              18x + 8x - 2 = 180°

              26x = 180 + 2

               26x = 182

                   x = 182 / 26

                   x = 7

9) Corresponding angles measure the same

               27x + 7 = 28x + 3

              27x - 28x = 3 - 7

              -1x = -4

                x = -4/-1

                x = 4

10) Consecutive interior angles measure 180°

              (x + 107) + (x + 87) = 180

               x + 107 + x + 87 =  180

               2x + 194 = 180

               2x = 180 - 194

               2x = -14

                 x = -14 / 2

                 x = -7

   

         

       

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