The problem states that angle x x x equals the pink angles and measures 56∘ 56^\circ 56∘.
Vertical angles are equal. The pink angles are vertical angles, so they both measure 56∘ 56^\circ 56∘.
Since angle x x x is one of the pink angles, it measures 56∘ 56^\circ 56∘.
Angle x x x measures 56∘ 56^\circ 56∘.
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