00:03
Given that the measure of angle l is equal to 45 degrees, the measure of angle m is equal to 72 degrees, and side length l is equal to 22 for the triangle k -lm, find side -length k.
00:19
So first off, let's draw our triangle and label each of the angle.
00:27
So we have k, l, and m.
00:31
Next, let's label what the given is.
00:34
So the measure of angle l is equal to 45 degrees.
00:40
The measure of angle m is equal to 72 degrees.
00:48
And the side length l is equal to 22.
00:55
And we are asked to find side length k.
01:01
In order to find side length k, we need to know what the angle k is.
01:06
Because the sum of the angles of a triangle is equal to 180, we can start at 180 and subtract our two given angles.
01:18
So minus 45, minus 72, and this will give us our third angle.
01:25
So 180 minus 45 minus 72 is equal to 63.
01:37
So the measure of angle k is equal to 63 degrees.
01:44
Now we can use this information and use the law of signs to find sideline k...