The sum of the inside angles of a 5 sided figure needs to equal 540 degrees.
Add all the angles together to equal 540 and solve for x. Once you have the value for x you can use that to figure out all the angles.
X-8 + 3x-11 + x + 8 + 2x + 7 + x = 540
Simplify by combing like terms:
8x - 4 = 540
Add 4 to both sides:
8x = 544
Divide both sides by 8:
X = 68
Now replace x with 68 in each angle and solve:
U = 68-8 = 60
V = 3(68)-11 = 204-11 = 193
W = 68 + 8 = 76
Y = 68
Z = 2(68) + 7 = 136 + 7 = 143
The values for y are as follows
4.5, 4, 3.5, 3, 2.5, 2
1. 5/6
2. 2/3 x 5/6
3. 2/3 x 5/6 = 10/18
Multiply the numerators— 2 x 5 = 10
Multiply the denominators—3x 6= 18
4. 10/18 = 5/9
Find the greatest common factor of 10 and 18 which is 2.
Divide the numerator by 2– 10/2 = 5
Divide the denominator by 2– 18/2 = 9
I hope this helps!
Answer:
Part 1) 
The value of x is 
Part 2) 
Step-by-step explanation:
Part 1) Simplify the given equation
we have
In the left side, remove the parenthesis and apply the distributive property
Remember that
so
Combine like terms left side
Adds 7x both sides
subtract 15 both sides
Divide by 7 both sides
Part 2) Solve for x.
Apply distributive property both sides
Group terms that contain the same variable
Combine like terms
R+S is odd==>R+S=2n+1 (1)
T-S is odd ==>T-S=2k+1 (2)
(1)+(2)==>R+T+S-S=2n+1+2k+1
==>R+T=2(n+k+1) is even
Answer A
