Quadrilateral ABCD is a parallelogram. What is the measure of ∠DAB? Show your work.(ADC = 3x+17)(ABC = 5x-3)

Answer:∠ DAB = 133°Step-by-step explanation:In a parallelogram ABCD, the opposite angles are equal. That means ∠ A = ∠ C and ∠ B = ∠ D. Now, it is given that ∠ D = 3x + 17 and ∠ B = 5x - 3 So, 3x + 17 = 5x - 3 ⇒ 2x = 20  ⇒ x = 10 Therefore, ∠ B = 5x - 3 = 50 - 3 = 47°  Now, we know that in a parallelogram the adjacent angles are supplementary i.e. ∠ A + ∠ B = 180° ⇒ ∠ A = 180 - ∠ B = 180° - 47° = 133° Therefore, ∠ DAB = 133° (Answer)