Question

Kite FGHK is shown.  What is the value of m?

Answer 1

M=3 i believe is the answer to your problem

Answer 2

For this case, the first thing to do is to observe that the figure is symmetrical with respect to the FH axis.

Therefore, the following lengths are the same:

$GH = HK$

So, by equalizing both sides we have:

$5m + 1 = 3m + 7$

From here, we clear the value of m.

We have then:

$5m - 3m = 7 - 1\\2m = 6$

$m = \frac{6}{2}\\m = 3$

Answer:

The value of m is given by:

$m = 3$