3x+4y=5
2x+3y=
-2(3x+4y)=5(-2)
3(2x+3y)=4(3)
-6x-8y=(-10)
6x+9y=12
Add the equations
-6x-8y=(-10)
+ 6x+9y=12
-----------------
0x+y=2
y=2
Substitue y into an equation
6x+9(2)=12
6x+18=12
6x=-6
x = -1
y = 2
Answer:
B
Step-by-step explanation:
Note that angle JOM and angle LOK are vertical angles meaning that they are congruent ( equal to each other )
We are given that angle MOK and angle JOM are supplementary
Supplementary angles add up to 180
This means that:
angle MOK + angle JOM = 180
If angle JOM = angle LOK
Then angle MOK + angle LOK also = 180
If angle MOK = 66 and angle LOK = x + 64
Then 66 + x + 64 = 180
Note that we've just created an equation that we can use to solve for x
We now solve for x
66 + x + 64 = 180
Combine like terms
66 + 64 = 130
130 + x = 180
Subtract 130 from both sides
x = 50
We also want to find the measure of angle LOK.
To do so we simply plug in the value of x into x + 64
angle LOK = x + 64
x = 50
angle LOK = 50 + 64 = 114
So x = 50 and angle LOK = 114
Hence the answer is B
Please refer the photograph for the answer
Hope it helped!!!
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