Question

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

Answer 1

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.

Answer 2

I think this is right