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adoni [48]
3 years ago
15

Find the values of x and y. 2(5x- 5)° (5y + 5)º (7y - 9° (6x + 50)

Mathematics
1 answer:
Amanda [17]3 years ago
4 0

The values of x and y are 15 and 7 respectively

The angles formed from the intersection of two lines at X are equal and vertically opposite angles.

From the figure shown, we can conclude that:

2(5x-5) = 6x + 50 (vertically opposite angle)

Expand

10x - 10 = 6x + 50

10x - 6x = 50 + 10

4x = 60

x = 60/4

x =15

Similarly;

5y + 5 = 7y - 9

Collect the like terms;

5y - 7y = -9 - 5

-2y = -14

y = 14/2

y = 7

Hence the values of x and y are 15 and 7 respectively

Learn more here: brainly.com/question/15198257

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Answer: OPTION B.

Step-by-step explanation:

When parallel lines are cut by a transversal several angles are formed.

There are pairs of angles called "Alternate Interior angles".

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By definition, they are are congruent, or, in other words the measure of Alternate Interior angles are equal.

In this case, you can identify that the \angle 8 and the \angle 2 are Alternate Interior angles.

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