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mars1129 [50]
2 years ago
15

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

Mathematics
2 answers:
dangina [55]2 years ago
4 0

Answer:

the value of y is, 5.5

Explanation:

GIven: m\angle KLM=135^{\circ}

Linear pairs is a pair of adjacent angles formed when two lines intersect.

In the figure, m\angle kLN and m\angle MLN forms a linear pair.

then, m\angle KLM = m\angle KLN+m\angle MLN.

Substitute the values of m\angle KLN= 47^{\circ} and m\angle MLN= (16y)^{\circ} in above equation, to find the value of y;

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

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

Simplify:

16y^{\circ} =88

Divide 16 on both sides of an equation:

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

Simplify:

y=\frac{11}{2} or y=5.5

Therefore, the value of y =\frac{11}{2} or y=5.5.


snow_tiger [21]2 years ago
3 0
I think this is right

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