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Mathematics

1 answer:

ss7ja [257]3 years ago

7 0

Answer:

m<x = 48

m<y = 132

Step-by-step explanation:

Since x and y are supplementary angles, that means their sum is 180 degrees.

And we are given that y is 12 less than 3 times the measure of x. With this information we can make a system of linear equations.

x + y = 180

y = 3x - 12

So now plug in the value of y into the first equation.

x + y = 180

x + (3x - 12) = 180

x + 3x = 192

4x = 192

x = 48

And then plug this computed value of x back into the first equation to find the measure of y.

x + y = 180

48 + y = 180

y = 180 - 48

y = 132

So the measures of the angles are as follows:

m<x = 48

m<y = 132

Cheers.

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