∠A and ∠B are complementary. The measure of ∠A is 21°.

What is the measure of ∠B?

Enter your answer in the box.

°

Respuesta :

complementary angles is when the sum of two angles is equal to 90 degrees.

∠A +  ∠B = 90°

21° + ∠B = 90°

∠B = 90° - 21°

∠B = 69°

Answer:

∠B = 69°

Step-by-step explanation:

Complementary angles are such pairs of angles that sum up to 90°. In this case, we are given that ∠A and ∠B are a pair of complementary angles. This means that ∠A and ∠B sum up to 90°.

⇒ [tex]\angle A + \angle B = 90\°[/tex]

⇒ [tex]21\° + \angle B = 90\°[/tex]                                                                                    [∠A = 21°]

⇒ [tex]\angle B = 90 - 21[/tex]

[tex]\angle B = 69\°[/tex]