00:01
So we have ef, g, h, and it is a rectangle.
00:08
We have the diagonals drawn, and they are intersecting at k.
00:14
And we want to know in number 7, if the measure of f -e -g is 57.
00:22
So f -e -g is this little angle right here.
00:26
Then what's the measure of g -e -h? well, g -e -h is this angle, and that's just going to be 90 minus 57 degrees, which is just 33.
00:45
Now, in number 8, i'm told the measure of f -k, so this is f -k, and that is 32, i want e -g.
00:55
Well, if f -k is 32, then that means f -h is 2 times 30.
01:02
Or 64, and the diagonals are congruent in a rectangle, so eg is also 64.
01:15
I want to find the measure of angles, let's highlight them, f, g, h, so this angle, which is a right angle, and efg.
01:28
And that's just going to be 90 plus 90 or 180 degrees.
01:36
Let's move on to the rhombus.
01:38
That is m -n -o -p, and again, the diagonals are intersecting at r.
01:51
And in number 10, i want to find the measure of angle m -r -n.
01:58
Mrn is this angle, that is 90 degrees, and that's because in armbus, the diagonals are perpendicular.
02:06
For number 11, i'm told that pr is 12, and i want to find the measure of rn...