Question

50 points: You are given rectangle ABCD with point E as the intersection of the diagonals. If the measure of angle AEB=13x and the measure of angle ECD=3x-5, find x.

Answer 1

Answer: bob

Explanation:

Answer 2

Since the diagonals of a rectangle bisect each other, we know that angle AEB is congruent to angle CED. Therefore, we can set the expressions for these angles equal to each other and solve for x:

13x = 3x - 5

Subtracting 3x from both sides gives:

10x = -5

Dividing both sides by 10 gives:

x = -0.5

Therefore, the value of x that satisfies the equation is x = -0.5. Note that this means that angle measures are negative, which doesn't make sense in this context. It's possible that there is an error in the problem statement or that some additional information is needed to determine a valid value of x.