00:01
This problem we're dealing with angle a, b, c, and we're told that there is a segment bd that bisects our angle.
00:10
And when we're told that it bisects our angle, bisects means we cut it in half.
00:14
So whatever this angle is, is equivalent to whatever this angle is.
00:17
And we want to find the measurement of angle bd, or a -b -d, and a measurement of c -b -d.
00:23
And we're told that the measurement of angle a -b -d is 6x plus 14, and that the measure of cbd is 3x plus 29.
00:34
And the way we can find all of the measurements we need, abd, cbd, and also abc is one they want, is to use the fact that it's bisecting our angle.
00:42
If it's bisecting our angle, that means that this angle measurement has to equal this angle measurement.
00:46
So we can set these two equal and solve for the x value, which will let us find all the angles we need.
00:54
So i'll subtract 3x from both sides to get my x's to the left...