Question

if m<mkl=83,m<jkl=127 and m<jkm=(9x-10) find the value of x

Answer 1

Step One

Find m>JKM

Formula

m>JKM = m>JKL - m<MKL

Solve

m>JKM = 127 - 83

m>JKM = 44

Step Two

The two expressions 44 and 9x - 10 are equal

Equation

9x - 10 = 44

Solve

9x - 10 = 44            Add 10 to both sides.

9x - 10 + 10 = 44 + 10

9x = 54                   Divide by 9

9x/9 = 54/9

x = 6   Answer

Answer 2

The value of x is 6 given that m<MKL = 83, m<JKL = 127 and <JKM = 9x-10

The point where two lines meet is known as an angle.

Given the following parameters:

m<MKL = 83

m<JKL = 127

<JKM = 9x-10

From the diagram shown,

$m<JKL = m<MKL + m<JKM$

Substitute the given values into the formula:

$127=83+9x-10\\127=73+9x\\9x=127-73\\9x=54$

Divide both sides by 9

$\frac{9x}{9} =\frac{54}{9} \\x=6$

Hence the value of x is 6 given that m<MKL = 83, m<JKL = 127 and <JKM = 9x-10

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