astyles09
astyles09 astyles09
  • 15-04-2021
  • Mathematics
contestada

An angle measures 48.4° less than the measure of its complementary angle. What is the measure of each angle?

Respuesta :

debmc7
debmc7 debmc7
  • 16-04-2021

Answer:

The angles are 69.2 degrees and 20.8 degrees

Step-by-step explanation:

Complementary angles, when added together, = 90°

We’ll call the first unknown angle a and the second angle b

b = a - 48.4

a + b = 90

So let’s substitute in for b in the second equation:

a + a - 48.4 = 90

2a - 48.4 = 90

2a = 138.4

a = 69.2

69.2 - 48.4 = 20.8 = b

Now, does a + b = 90?

69.2 + 20.8 = 90

Lmk if you have questions

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