Answer:
∠DAB = 133°
Step-by-step explanation:
Given - Quadrilateral ABCD is a parallelogram. ∠D = 3x + 17, ∠B = 5x - 3
To find - What is the measure of ∠DAB?
Proof -
We know that In a parallelogram, opposite angles are equal.
So, ∠A = ∠C and ∠B = ∠D
Now,
As ∠B = ∠D
⇒3x + 17 = 5x - 3
⇒17 + 3 = 5x - 3x
⇒20 = 2x
⇒x = 10
So,
∠B = 5(10) - 3 = 50 - 3 = 47
⇒∠B = 47°
Also, we know that
∠A + ∠B = 180°
⇒∠A = 180° - ∠B
⇒∠A = 180° - 47° = 133°
⇒∠A = 133°
⇒∠DAB = 133°
