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If angle m ∠ 5 = 3 x 7 m∠5 = 3x 7 , m ∠ 6 = 6 x − 16 m∠6 =6x−16 and m ∠ 7 = 5 y 5 m∠7 = 5y 5 find x and 7

Answer :

Final answer:

To find x and y, set up a system of equations using the given angle measurements and solve for the variables.

Explanation:

To find the value of x and y, we need to use the given information about the angles. From the question, we have:

m∠5 = 3x + 7
m∠6 = 6x - 16
m∠7 = 5y + 5

We can set up a system of equations using the given information:

3x + 7 = 6x - 16
5y + 5 = 3x + 7

By solving the system of equations, we can find the values of x and y. Let's start with the first equation:

3x + 7 = 6x - 16
7 + 16 = 6x - 3x
23 = 3x
x = 23/3

Substituting this value of x into the second equation:

5y + 5 = 3(23/3) + 7
5y + 5 = 23 + 7
5y + 5 = 30
5y = 30 - 5
5y = 25
y = 25/5

Therefore, the value of x is 23/3 and the value of y is 25/5.

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