HELP ASAP PLEASE 7a. Find the value of x. (Hint: How many sides does the shape have?)
5x
4x + 2
5x + 5 5
x-10
2x-2
2y - 1 3x+5
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This is a required question
7b. Find the value of y."
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This is a required question

x = 36

y = 34

Step-by-step explanation:

✔️Sum of the interior angles of an n-sided polygon = (n - 2) × 180

Thus, the figure given is a hexagon with 6 sides.

Therefore, the sum of its interior angles = (6 - 2) × 180

= 4 × 180 = 720.

This means:

(5x) + (4x + 2) + (5x + 5) + (2x - 2) + (3x + 5) + (x - 10) = 720

Solve for x

5x + 4x + 2 + 5x + 5 + 2x - 2 + 3x + 5 + x - 10 = 720

Add like terms

20x = 720

Divide both sides by 20

x = 36

✔️(2y - 1) + (3x + 5) = 180 (angles on a straight line)

Plug in the value of x

2y - 1 + 3(36) + 5 = 180

2y - 1 + 108 + 5 = 180

Add like terms

2y + 112 = 180

Subtract 118 from each side

2y = 180 - 112

2y = 68

Divide both sides by 2

y = 68/2

y = 34