ANSWER

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7. x = 38°

8. y = 65°

9. 261° and 81°

Step-by-step explanation:

Finding x:

You can make an equality with (2x +5) and (3x +33) because the value of these angles are the same, so:

2x +5 = 3x -33

2x - 3x = -33 -5

-x = -38

x = 38°

Finding y:

You can find the value of y making another equally, but this time you have to sum (4y -1) with (3x - 33) or (2x +5) and equal it with 180°:

(4y -1)+(2x +5) = 180

4y -1 +2x +5 = 180

4y +2x +4 = 180

We know from the question 7 that x is 38°:

4y +2•(38) +4 = 180

4y - 76 +4 = 180

4y - 80 = 180

4y = 180 + 80

4y = 260

y = 260/4

y = 65

Finding the value of the angles:

You just have to put the value of x and y in their places and make the calculations:

4•65 +1 = 261°

3•(38) -33 = 81°

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