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5 days ago

Find the value of y, given that m<KLM = 135

Mathematics

2 answers:

babunello [11.3K]5 days ago

4 0

Result:

The value of y stands at 5.5

Clarification:

Provided: $m\angle KLM=135^{\circ}$

Linear pairs refer to adjacent angles that are created when two lines cross.

In the diagram, $m\angle kLN$ and $m\angle MLN$ create a linear pair.

Then, $m\angle KLM = m\angle KLN+m\angle MLN$ .

To determine the value of y, insert the figures for $m\angle KLN= 47^{\circ}$ and $m\angle MLN= (16y)^{\circ}$ into the equation mentioned above;

⇒ $135^{\circ}=47^{\circ}+(16y)^{\circ}$ or

$16y^{\circ} =135^{\circ}-47^{\circ}$

Simplify:

$16y^{\circ} =88$

Divide both sides of the equation by 16:

$\frac{16y}{16} =\frac{88}{16}$

Simplify:

$y=\frac{11}{2}$ Alternatively, y=5.5

Thus, the solution for y = $\frac{11}{2}$ or y=5.5.

tester [11.9K]4 days ago

3 0

I believe this is correct

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