jayjayicedout
jayjayicedout jayjayicedout
  • 17-12-2021
  • Mathematics
contestada

Two complementary angles are in the ratio 3: 2. The number of degrees in the smaller angle is
A. 18 B. 36 C. 54 D. 72

Respuesta :

jaseelk92
jaseelk92 jaseelk92
  • 28-12-2021

Answer:

Option B is the correct answer

Step-by-step explanation:

Complimentary angles mean sum of angles is [tex]90^{0}[/tex]

Let the smaller angle be [tex]x[/tex]

Other angle is [tex]90-x[/tex]

We have

Two complementary angles are in the ratio [tex]3: 2[/tex]

[tex]\frac{90-x}{x} =\frac{3}{2} \\\\180-2x=3x\\\\5x=180\\\\x=36[/tex]

Smaller angle is [tex]36^0[/tex]

Option B is the correct answer

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