00:02
Okay, in part a, we are told that angle one is five times as large as angle two.
00:13
And because the two angles form a straight line, we're looking at supplementary angles or linear pair.
00:24
Their sum is going to be 180 degrees.
00:27
So if angle 1 is 5 times as large as angle 2, that would make angle 2 x, and angle 1 would be 5 times that or 5x.
00:41
And then we just set up a basic equation.
00:47
Angle 1 plus angle 2 has to equal 180 degrees.
00:53
They're supplementary.
00:56
So 6x equals 180.
01:02
Divide both sides by six real quick.
01:08
And we get x equals 30 degrees.
01:18
That means that angle one would be five times that.
01:26
So if we wanted to write those in, that means angle two is 30 degrees.
01:31
Angle one would be 150 degrees.
01:34
And you see clearly those add up to 180.
01:38
In part b, we are told that angle 3 is 72 times as large as angle 4.
01:51
We're also told that ray pq, excuse me, ray qp and qr are perpendicular...