00:03
Given that the measure of the side length k is equal to 10, measure of the side length m is equal to 4 .8, and the measure of angle k is equal to 96 for the triangle klm, find the measure of angle m.
00:19
First things first, we draw our triangle, and we start labeling things.
00:25
So we have angle k, angle l, and angle m.
00:33
Side length k which is opposite angle k is equal to 10 measure of angle of side m opposite angle m is 4 .8 and the measure of angle k is equal to 96 degrees and we are asked to find the measure of angle m to do this we are going to use the law of signs where the angles go on top so we will do sign of angle k over side length k.
01:13
I always start with what we know both the side and the angle.
01:18
And that is equal to sign of our angle m over the side length m.
01:28
Now let's plug in numbers.
01:30
So we have sign of 96 over 10.
01:36
And this is equal to sign of m.
01:40
We don't know what m is, so we just leave it as m over 4 .8.
01:45
Now we are solving for that letter m.
01:49
So to do that, we start by multiplying both sides by 4 .8, our denominator.
01:56
So we will have 4 .8 times sine of 96 divided by 10.
02:04
And this is equal to sign of angle m...