▄▄▄▄▄▄▄▄▄▄▄▄▄▄
We know that, Two angles are said to be complementary, if the sum of their measures is 90°.
According to the Question,
⇒ ∠ABD + ∠DBC = 90°
⇒ (2x + 30)° + (3x + 20)° = 90°
⇒ 2x + 30° + 3x + 20° = 90°
⇒ 5x + 50° = 90°
⇒ 5x = 90° - 50°
⇒ 5x = 40°
⇒ x = 40°/5
⇒ x = 8
So, the measure of each angle will be,
⇒ ∠ABD = (2x + 30)°
= 2 × 8 + 30°
= 16 + 30°
= 46°
⇒ ∠DBC = (3x + 20)°
= 3 × 8 + 30°
= 24 + 30°
= 54° ▄▄▄▄▄▄▄▄▄▄▄▄▄▄