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valina [46]
3 years ago
8

What is the Value of x+y ? PLZ Help ASAP

Mathematics
2 answers:
Natalija [7]3 years ago
7 0
ANSWER

x + y = 60

EXPLANATION

Method 1

Vertically opposite angles are equal, therefore

3x + 55 = 85

This implies that,

3x = 85 - 55

We simplify to get,

3x = 30

Dividing through by 3 gives,

x = 10

Also,

2y - 5 = 95

This implies that,

2x = 95 + 5

We simplify the right hand side to get,

2x = 100

We divide both sides both sides by 2 to get,

x = 50

x + y = 50 + 10

x + y = 60


Method 2

Angles on straight line sums to 180°.



2y-5+85=180


This implies that,

2y+80=180


2y=180-80


2y=100


y=50



Also,


3x+55+95=180


3x+150=180


3x=180-150


3x=30


x=10


x+y=50+10


x+y=60
xxTIMURxx [149]3 years ago
4 0

<u>Answer:</u>

x + y = 60

<u>Step-by-step explanation:</u>

In the given figure, we have two lines that intersect each other at one point.

Therefore, the opposite angles are equal to each other and we can write them in the form of an equation as:

2y - 5 = 95 --- (1)

3x + 55 = 85 --- (2)

Now solving each of the equations to find the value of x and y.

<u>For y:</u>

2y - 5 = 95

2y = 95 + 5

2y = 100

y = 50


<u>For x:</u>

3x + 55 = 85

3x = 85 -55

3x = 30

x = 10

Therefore, x + y = 10 + 50 = 60.

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