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LekaFEV [45]
3 years ago
11

Find the value of y in the diagram below.

Mathematics
1 answer:
Alja [10]3 years ago
5 0

Answer:

The answer to your question is: y = 80°

Step-by-step explanation:

The sum of the internal angles in a polygon is = 180°(n - 2)

                                                                            = 180° (6 - 2)

                                                                           = 180(4)

                                                                            = 720°

                   y° + y° + 2(2y -20) + 2(2y -20) = 720

                   2y° + 4(2y -20) = 720

                   2y° + 8y -80 = 720

                   10y = 720 + 80

                   10 y = 800

                   y = 800 / 10

                   y = 80°

                 2y - 20 = 2(80) -20 = 160 -20 = 140

                 

                 80° + 80° * 140 + 140 + 140 + 140 = 720°

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