Question

Find value of x + y. ​

Answer 1

`\mathbb{SOLUTION:}`

Take note that KLM is a straight line, the total measure of angle L will be 180 degrees. Now, let's find the measure of the other side of
`\angle` L. Thus we have:

`\begin{gathered}\begin{aligned} & \bold{\angle \: L} \\ & \quad \quad \quad \boxed{\begin{array}{l} \rm{65+x=y} \end{array}}\end{aligned}\end{gathered}`

`\begin{gathered}\begin{aligned} & \bold{} \\ & \quad \quad \quad \boxed{\begin{array}{l} \rm{x= 180-65 =115^(\circ)} \end{array}}\end{aligned}\end{gathered}`

Now we get the angle x, angle y is opposite the angle that measures 65 degrees.

Hence, the measure of
`\angle` y, we have:

`\begin{gathered}\begin{aligned} & \bold{\angle \: y} \\ & \quad \quad \quad \boxed{\begin{array}{l} \rm{x= 180-65 =115^(\circ)} \end{array}}\end{aligned}\end{gathered}`

Therefore, to find the value of x + y, we have:

`\begin{gathered}\begin{gathered}{\begin{array}{l} \quad \rm x + y = 115+ 115 = 230^(\circ)\end{array}}\end{gathered}\end{gathered}`

Hence, the value of x+y is 230°