bryanaviles088 bryanaviles088
  • 17-02-2021
  • Mathematics
contestada

Two angles are complementary. If one angle is two times the sum of the other angle and
3, find the two angles.

Respuesta :

timo86
timo86 timo86
  • 18-02-2021

Answer:

28° and 62°

Step-by-step explanation:

Mark one angle as x

Then the other angle as y

Two angles are called complementary when their measures add to 90 degrees.

Therefore x + y = 90°

and x = 90° - y

It is also given that x = 2 * (y + 3)

90 - y = 2 * (y + 3)

90 - y = 2y + 6

- 3y = 6 - 90

-3y = - 84

// divide both sides by -3

y = 28°

Now combine the given y value into the expression x = 90° - y

x = 90 - 28

x = 62°

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