00:04
In this problem, you're given that two angles of supplementary if their sum is 180 degrees.
00:09
Then we're given a description regarding a larger angle and a smaller angle.
00:14
So it says the larger angle measures three degrees more than twice the measure of the smaller angle.
00:21
If x represents the measure of the smaller angle and the two angles are supplementary, find a measure of each angle.
00:28
So let's look at what's important.
00:29
So x is the smaller angle, okay? so, so x is a smaller angle.
00:41
Because we're dealing with x, i'm going to do y to represent the larger angle.
00:50
And here it says that the large angle measures three degrees more.
00:57
What that means three degrees more, more, right? means add.
01:05
So we're never going to be adding three degrees till twice the measure of smaller angle.
01:11
So what does twice means? twice means multiply by two, right? so it's saying if we multiply the smaller angle by two and add three to it, it'll be equivalent to the larger angle.
01:35
Okay.
01:39
So three more means add, then twice the measure of the small angle, right? so the larger angle, which is why is, because remember the equal sign means is, three more, so that's plus three, then twice the small angle.
01:55
Right.
01:55
And we know that there's supplementary, so that means that x plus y has equal 180 degrees.
02:10
So now we can find the value of the two angles because i can just substitute this value in for y, because we said it is two times a smaller angle increased by 3.
02:22
So in the problem, i would have x plus y.
02:26
You just said a right, i'm writing 2x plus 3 equals 180...