00:01
In this problem, we're asked to find the measure of angle bcd.
00:08
And we're told that we have tangents that are perpendicular to the radius.
00:13
So we have this tangent.
00:16
And we have this tangent.
00:19
So our plan is to use the fact that there are 360 degrees in a quadrilateral and to find the measure of this missing angle measure.
00:31
So let's start with the easy.
00:33
Information in my opinion is using what we know about tangents.
00:38
We know that they're perpendicular to the radius.
00:41
So we have a right angle here and we have a right angle here.
00:46
So that takes care of two of our angle measures.
00:50
Now we just need to find the measure of this angle and we'll be able to find the measure of angle bcd.
00:56
So let's look at the other piece of information that we're given.
00:59
We're given that this angle, it's an inscribed angle of 70 so we know that angle d, f, b is 76 degrees.
01:08
And what we know about inscribed angles is that they are half the measure of their intercepted arcs...