00:01
Okay, so in this problem, we're going to have to use conjectures in the following exercises.
00:04
And so we're going to have to figure out a is equal to 2, then what is b equal to? so let's start off with what we have.
00:15
So we know that a parallel consecutive angles, conjecture states that a consecutive angles of a parallelogram or submentary, meaning the sum of their measures, is equal to 180.
00:27
So that means, so the conjecture states that, so conjecture, oops, that states that 180 is equal to the sum of the consecutive angles, right? so now we can represent this by saying, by saying that a plus, by saying that a plus 48 degrees, is going to equal to 180 degrees.
01:14
So we know that because of the parallel conjecture, we know that because of the parallel, consecutive angles.
01:34
Then we can also do a plus 40a is equal to 180 minus 48 degrees.
01:45
Then a is equal to 132.
01:48
Because we simplify.
01:51
And then this is the subtraction property.
01:55
Subtraction...