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Can someone help me resolve this please

Can someone help me resolve this please-example-1

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Answer:

Explanation:

1. A straight line forms a 180 degree angle, so looking at the values on top of the line going from east-to-west: 81, 83, y.

We know that these three angles must sum up to 180 degrees, so we can put together a simple equation:

81 + 83 + y = 180

164 + y = 180

y = 16

Similarly, we can set up a similar equation for the line going NE to SW: x, 81, 83.

Since we're using the same values as the above equation, we can substitute x for y to come to x = 16.

Finally, we can take a look at the values below the line going from east-to-west: x and z.

We can set up an equation to solve these values:

x + z = 180

16 + z = 180

z = 164

2. Applying the same rules as (1), let's look at the line going NE to SW: a and 95.

a + 95 = 180

a = 85

We'll do the same thing for the values below that same line: b, 39, 58

b + 39 + 58 = 180

b + 97 = 180

b = 83

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