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3 years ago

I need help this math problem

Mathematics

1 answer:

Nastasia [14]3 years ago

7 0

Answer:

x = 2

y = 5

1 = 80

2= 10

3 = 100

Step-by-step explanation:

Complementary angles add to 90.

So 5(x+14) + 2(10-y) = 90. Solve for x.

5x + 70 + 20 -2y = 90

5x - 2y = 0

Supplementary angles add to 180.

So 5(x+14) + 121-3x-3y = 180. Solve for x.

5x + 70 + 121 -3x -3y = 180

2x - 3y = -11

This creates a system of equations. Solve using elimination.

5x - 2y = 0 ------> 10x - 4y =0

2x - 3y = -11 ------> 10x -15y = -55

_____________

11y = 55

y = 5

Substitute y=5 into the equation to find x.

2x - 3(5) = -11

2x - 15 = -11

2x = 4

x=2

Find the measure of each angle by substituting x = 2 and y =5 into each angle.

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we are given

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Here is your answer

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