00:02
Okay, so given this, we're given two triangles and we're told to find the measure of angle b right here.
00:12
So let's go through where we know, you know that a, b is parallel to d .f, and we know that dce is 101 and c .f is 147.
00:26
So the most important thing here i would say is this part right here.
00:31
A .b is parallel to d .f because when you're told that two lines, two straight lines as such are parallel to each other.
00:40
It makes things a lot simpler.
00:44
And you'll see in a bit what i mean.
00:48
So let's go ahead and solve for some angles first.
00:52
So based off of ab being parallel to df, these two angles right here and these two angles right here are exactly equal to each other.
01:11
They're congruent because they're opposite interior angles and those are always equal to each other.
01:18
And right here, you see this one -on -one, this is equal to this right here, because, because vertical angles or angle that are across from each other are always congruent.
01:30
And so knowing that, let's solve for b.
01:34
Okay...