Answer:
x = 12
Explanation:
In a rectangle, each two opposite sides are parallel.
Therefore, in rectangle ABCD:
AB would be parallel to CD
We know alternating angles formed within parallel lines are equal in measure.
In the given rectangle, we have:
∠ACD and ∠BAC are alternating angles, which means that they are equal.
Therefore:
∠ACD = ∠BAC
x + 28 = 3x + 4
28 - 4 = 3x - x
2x = 24
x = 12
We can check our solution:
∠ACD = 12 + 28 = 40°
∠BAC = 3(12) + 4 = 40°
They are equal
Hope this helps :)
