Observe the figure below.
Statement Reason
1. AC and BD bisect each other Given
2. AE = EC and BE = ED Definition of bisection
3. 
Vertical angle theorem
Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".
4. 
SAS criterion for congruence
5. 
Corresponding angles of congruent triangles are congruent
6. 
Converse of alternate interior angle theorem
7. 
Vertical angle theorem
8. 
SAS criterion for congruence
9. 
Converse of alternate interior angle theorem
As, , so 
as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by "Converse of alternate interior angle theorem".
4 x ? = 252
Do the opposite of multiplication.
252 ÷ 4 = ?
? = 63.
Hope this Helps! :)
Since the angles are supplementary, we know that they must add up to equal 180 degrees by the definition of supplementary angles
set the sum of the 2 angles to equal 180 and solve for x
6x + 48 + 60 = 180
6x + 108 = 180
6x = 72
x = 12
you could check to make sure that your x value is correct by plugging it back into the equation
6(12) + 48 + 60 = 180
72 + 48 + 60 = 180
120 + 60 = 180
180= 180
hope this helped!
The answer is the second choice I believe
The correct answer is A) 2:3 because 4/6 simplified is 2/3
