Answer:
The length of AD is 6.
Step-by-step explanation:
Solve.

Now plug in:

^Therefore, your result^
Answer:
See below:
Step-by-step explanation:
First of all, you will see that diagonal BD is a angle bisector for Angles <ABC and <ADC. Now, knowing that it is a square.
We see that the angle bisector splits the angles into 45 degrees each due to the sum of angles in a square being 360 degrees hence giving us 4 right angles.
Now, if we see this, we see that we have a 45 45 90 Triangle!
The theorem states that the hypotenuse is equal to
.
Hence, we get our answer of
!
the denominator would be 12
Since complementary angles add to 90°, (4x - 1) and (5x + 19), also add to 90°.
Thus, lets form an equation:
90 = 5x + 19 + 4x - 1
72 = 9x
x = 9
Thus, the measure of angle B is 64°.