lsurapanani lsurapanani
  • 09-12-2019
  • Mathematics
contestada

One of two complementary angles measures 30 degrees more than three times the other. Find each angle.

Respuesta :

absor201
absor201 absor201
  • 14-12-2019

The two complementary angles are:

95° and 15°

Step-by-step explanation:

Let x be one angle

then the other angle will be 90-x

As the sum of complementary angles is 90

So,

then according to statement

[tex]x = 3(90-x)+30\\x = 270-3x +30\\x = 300-3x\\x+3x = 300\\4x = 300\\x = \frac{300}[4}\\x = 75\\and\\90 -x = 90 - 75 = 15[/tex]

The two complementary angles are:

95° and 15°

Keywords: Angles, triangles

Learn more about angles at:

  • brainly.com/question/573382
  • brainly.com/question/570997

#LearnwithBrainly

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