Find the value of x and y

Mathematics

1 answer:

djverab [1.8K]2 years ago

7 0

Answer:

x = 8, y = 27

Step-by-step explanation:

Since both opposite lines are equal in length to each other, these opposite lines are parallel to each other. The top line is parallel and same length as the bottom line and the left and right lines are also parallel and equal in length.

Based on that, the two left side angles must equal 180 and the right side two angles must equal 180.

(2y + 24) + (3y + 21) = 180

That's the same as 2y + 24 + 3y + 21 = 180

Simplify to 5y + 45 = 180

Subtract 45 from both sides

5y = 135

y = 27

(16x - 26) + (9x + 6) = 180

16x - 26 + 9x + 6 = 180

25x - 20 = 180

25x = 200

x = 8

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