The sum of the interior angles of any quadrilateral is 360°.
So,
90° + 90° + 52° + x = 360°
=> 232° + x = 360°
=> x = 360° - 232°
=> x = 128°
So, for this, "x" can equal 5/2 which is fraction form, OR it can be decimal form, which would be 2.5
I hope this helps!
Answer:


Step-by-step explanation:
Given



Required
Find a and b
In
,
and 
This gives:


Divide by 6

In
.
and 
This gives:


Substitute 2 for a


Collect Like Terms


Divide by 2

Answer:
AB = 16 Units
Step-by-step explanation:
In the given figure, CD is the diameter and AB is the chord of the circle.
Since, diameter of the circle bisects the chord at right angle.
Therefore, AE = 1/2 AB
Or AB = 2AE...(1)
Let the center of the circle be given by O. Join OA.
OA = OD = 10 (Radii of same circle)
Triangle OAE is right triangle.
Now, by Pythagoras theorem:
![OA^2 = AE^2 + OE^2 \\10^2 = AE^2 + 6^2 \\100= AE^2 + 36\\100-36 = AE^2 \\64= AE^2 \\AE = \sqrt{64}\\AE = 8 \\\because AB = 2AE..[From \: equation\: (1)] \\\therefore AB = 2\times 8\\\huge \purple {\boxed {AB = 16 \: Units}}](https://tex.z-dn.net/?f=%20OA%5E2%20%3D%20AE%5E2%20%2B%20OE%5E2%20%5C%5C%3C%2Fp%3E%3Cp%3E10%5E2%20%3D%20AE%5E2%20%2B%206%5E2%20%5C%5C%3C%2Fp%3E%3Cp%3E100%3D%20%20AE%5E2%20%2B%2036%5C%5C%3C%2Fp%3E%3Cp%3E100-36%20%3D%20AE%5E2%20%5C%5C%3C%2Fp%3E%3Cp%3E64%3D%20AE%5E2%20%5C%5C%3C%2Fp%3E%3Cp%3EAE%20%3D%20%5Csqrt%7B64%7D%5C%5C%3C%2Fp%3E%3Cp%3EAE%20%3D%208%20%5C%5C%3C%2Fp%3E%3Cp%3E%5Cbecause%20AB%20%3D%202AE..%5BFrom%20%5C%3A%20equation%5C%3A%20%281%29%5D%20%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%20AB%20%3D%202%5Ctimes%208%5C%5C%3C%2Fp%3E%3Cp%3E%5Chuge%20%5Cpurple%20%7B%5Cboxed%20%7BAB%20%3D%2016%20%5C%3A%20Units%7D%7D%20)