If a parallelogram is a rhombus, the diagonals bisect the opposite angles.

In rhombus ABCD, m∠BAE = 4x + 15 and m∠DAE = 2x + 29.
Find m∠BAE, m∠DAE, and m∠BAD.

First, set up an equation. Since ABCD is a rhombus, we know that diagonal AC bisects ∠BAD. This means that ∠BAE ≅ ∠DAE:

Now, substitute the value of x into the expression for each angle measure.

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