Answer:
∠A = 60° and ∠B = 30°
Step-by-step explanation:
Given in question as ,
Angle A is twice as large as its compliment angle B
Angles are compliment in nature when sum of these two angle = 90°
Now ∠A + ∠B = 90°
Again as per question ∠A = 2 times ∠B
So, 2 times ∠B + ∠ B = 90°
Or, 3 ∠B = 90°
So, ∠B = [tex]\frac{90}{3}[/tex]
Thus, ∠B = 30°
Now Put the value of angle B to get the value of angle A
So, ∠A = 90° - 30°
Or, ∠A = 60°
Hence ∠A = 60° and ∠B = 30° ANSWER