Answer:
z = 121
x = 59
y = 49
w = 72
Explanation:
Let's first set up some equations.
x + w + y = 180
x + z = 180
z - 13 + w = 180
z + 10 + y = 180
z - 13 + z + 10 + z = 360
We can solve for z when it is equal to 360 due to the Euclidean case.
First, combine like terms.
3z - 3 = 360
Now, add 3 to both sides, then divide by 3 to both sides.
z = 121.
Now we can find the rest of the angles by plugging in z (121).S
Solving for x:
121 + x = 180
x = 59
Solving for y:
121 + 10 + y = 180
131 + y = 180
y = 49
Solving for w:
121 - 13 + w = 180
108 + w = 180
w = 72
To verify that these interior angles add up to 180, add them together.
72 + 49 + 59 = 180
180 = 180 Yes! It is true!