# What is the Value of x+y?

What is the value of x+y? Explain

Update: Relevance

95º and (3x + 55)º are supplementary;

also, 85º and (2y - 5)º are supplementary

So 95 + 3x + 55 = 180; solving, x = 10

85 + 2y - 5 = 180; solving, y = 50

Thus x + y = 60º

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• 3x + 55 = 85

3x = 85 - 55

3x = 30

x = 10

On the other hand,

2y - 5 = 95

2y = 95 + 5

2y = 100

y = 50

So,

x + y = 10 + 50 = 60

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• 85 + (2y - 5) = 180º

95 + (3x + 55) = 180º

85 + (2y - 5) = 180º

2y = 100

y = 50º

95 + (3x + 55) = 180º

3x = 30

x = 10º

y + x = 50 + 10 = 60º

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• If y = 2 and y = 3 then x + y = 3 + 2 = 5.

• Lôn
Lv 7
4 weeks agoReport

Ah, I answered this before realising there was a diagram to go with it.

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• When two lines cross they form four angles. The angles opposite each other are called "vertical" angles and they have the same measure.

From the top and bottom angles being congruent, we know:

3x + 55 = 85

Solve for x:

3x = 30

x = 30/3

x = 10

For the left and right angles being congruent, we know:

2y - 5 = 95

2y = 100

y = 100/2

y = 50

I'll leave the last step to you. :)

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