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Tom [10]
3 years ago
15

Find the measure of the exterior angle​

Mathematics
1 answer:
STALIN [3.7K]3 years ago
4 0

Answer:

The answer to your question is a ) 127°    b) 80°

Step-by-step explanation:

a) We have to consider that the sum of the interior angles in a triangle equals 180°.

Then,

          89 + (5x - 7) + [180 - (14x + 1)] = 180

Simplification

          89 + 5x - 7 + 180 - 14x - 1 = 180

          5x - 14x = 180 - 89 + 7 - 180 + 1

                 - 9x = -81

                     x = -81 / -9

                     x = 9

Exterior angle = 14(9) + 1

                       = 127°  

b) The process is the same that the previous problem

          30 + (4x + 2) + [180 - (8 + 6x)] = 180

Simplification

          30 + 4x + 2 + 180 - 8 - 6x = 180

          4x - 6x = 180' - 30 - 2 + 8 - 180

               -2x = -24

                  x = -24/-2

                  x = 12

The measure of the external angle is = 8 + 6(12)

                                                              = 8 + 72

                                                              = 80°

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