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Oliga [24]
3 years ago
9

Find the measure of each interior angle

Mathematics
1 answer:
arsen [322]3 years ago
8 0

Answer:

∠J = 115

∠N  = 65

∠M = 50

∠K = 130

Step-by-step explanation:

Sum of all the angles = 360

2x + 15 + x + 15 +x + 3x - 20 = 360

Combine like terms

2x + x + x + 3x + 15 + 15 - 20 = 360

               7x + 10 = 360

                      7x  = 360 - 10

                     7x = 350

                     x = 350/7

x = 50

∠J = 2x + 15 = 2*50 + 15 = 100+15 = 115

∠N = x +15 = 50 +15 = 65

∠M = x = 50

∠K = 3x - 20 = 3*50 - 20 = 150 - 20 = 130

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