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°

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.