00:01
This question deals with a bit of algebra to find the angles in a triangle based on some equations and variables here.
00:13
So the most important thing to start us off with this is that you need to know all the angles in a triangle add up to 180 degrees.
00:23
So that's a big idea.
00:25
So if you added this angle with this angle with this angle, it's going to add up to 180 degrees.
00:31
Let's start with that.
00:32
If we added up all three of those angles and they're given in terms of algebraically here, so if i had 4x and i added 3x plus 4, the second angle, and i added 2x plus 5, that will add up to give you 180.
00:52
So now you have an equation and what we can do is combine our like terms and then solve the equation for x to determine what each of those angles.
01:01
Angles are.
01:02
So your like terms mean they have the same variables with the same exponent.
01:06
So i'm going to circle a couple of the sets of like terms.
01:10
So we've got 4x plus 3x plus 2x.
01:14
So i can combine all of those.
01:16
So 4x and 3x gives you 7x plus 2 more xes gives you 9x.
01:21
So that simplifies to 9x.
01:24
And then i can also grab these as like terms, 4 and 5.
01:29
Those add up 4 plus 5.
01:31
Is 9.
01:32
So that simplified our equation...