Respuesta :

Question↷

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

What is the measure of ∠B?

Answer↷

  • 69°

Given↷

  • Two complementary angles ⤿∠A & ∠B
  • ∠A⤿21°

To find↷

  • Measure of ∠B

Solution ↷

we know that,

  • sum of two complementary angles ⤿90°

ATQ,

  • ⤿∠A +∠B = 90°
  • ⤿21° + ∠B = 90°
  • ⤿∠B = 90° -21°
  • ⤿∠B = 69°

Answer:

[tex]\displaystyle 69° = m\angle{B}[/tex]

Step-by-step explanation:

Complementary Angles sum up to ninety degrees, so do the following:

[tex]\displaystyle 90° = 21° + m\angle{B} \\ \\ 69° = m\angle{B}[/tex]

I am joyous to assist you at any time.