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Answer:

  48°

Step-by-step explanation:

The acute angles in a right triangle are complementary, so angle CAD is ...

  ∠CAD = 90° -60° = 30°

When an angle is divided, the whole is the sum of the parts.

  ∠DAB +∠CAD = ∠CAB

  ∠DAB +30° = 78°

  ∠DAB = 48° . . . . . . . . . . subtract 30°

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Alternate solution

The sum of angles in a triangle is 180°, so ...

  60° +78° +∠B = 180°

  ∠B = 180° -138° = 42°

  ∠DAB = 90° -42° = 48° . . . . . acute angles in a right triangle

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