daniel1236
daniel1236 daniel1236
  • 30-08-2019
  • Mathematics
contestada

Help please and show work

Help please and show work class=

Respuesta :

jimrgrant1 jimrgrant1
  • 30-08-2019

Answer:

18°

Step-by-step explanation:

Note that 25% = [tex]\frac{1}{4\\}[/tex]

let x be one angle then the other is [tex]\frac{1}{4\\}[/tex] x

Complementary angles sum to 90°, thus

x + [tex]\frac{1}{4\\}[/tex] x = 90

Multiply all terms by 4

4x + x = 360

5x = 360 ( divide both sides by 5 )

x = 72

The smaller angle = [tex]\frac{1}{4\\}[/tex] × 72° = 18°

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