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How do I solve this? I am confused Quick!!

How do I solve this? I am confused Quick!!-example-1

1 Answer

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Answer: green angle = 76 degree

Solution:
We can use interior angle properly of a triangle to find it.

Exterior angle = sum of interior angles

So, 116 = 4x + (7x + 6)

11x + 6 = 116
11x = 116 - 6
11x = 110
x = 110/11 = 10

So, angles = 4 x 10 = 40
7 x 10 + 6 = 70 + 6 = 76

Green angle: 76 degree
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