Answer:
∠ 1 = ∠ 2 = 27°
Explanation:
since ADC is a straight line then ∠ BDC = ∠ ADB = 90°
the sum of the 3 angles in a triangle = 180°
In Δ BCD
∠ 1 + 63° + 90° = 180° , that is
∠ 1 + 153° = 180° ( subtract 153° from both sides )
∠ 1 = 27°
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In Δ ABC
∠ 2 + 63° + 90° = 180°
∠ 2 + 153° = 180° ( subtract 153° from both sides )
∠ 2 = 27°