Question

Can someone please help me I asked my teacher for help but they won't answer me.PLEASE

Answer 1

We have a kyte and we have to find the measures of x and y.

As the line KM is the axis of symmetry, the angle TJM is congruent with the angle TLM, that has the measure y.

So y is also the measure of angle TJM, that has a measure of 52 degrees,

Then y = 52 degrees.

To find x, we use the fact that the sum of the angles of a triangle is equal to 180 degrees. The angle at vertex L is y and the angle at vertex T is a right angle (90 degrees).

Then, for triangle TLM, we have:

`\begin{gathered} m\angle L+m\angle T+m\angle M=180\degree \\ y+90+x=180 \\ x=180-90-y \\ x=90-y \\ x=90-52 \\ x=38\degree \end{gathered}`

Answer:

x = 38 degrees.

y = 52 degrees.