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