Respuesta :

the measure of the smaller angle is 15°
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he measure of the smaller acute angle in a right triangle is 15 degrees.

  • Let the bigger angle be a.
  • Let the smaller angle be b.

To find the measure of the smaller acute angle:

Translating the word problem into an algebraic expression, we have;

[tex]a = 5b[/tex]

In Trigonometry, a right triangle is a triangle that has the sum of its interior angles equal to ninety (90) degrees.

Mathematically, this is given by the formula:

[tex]a + b =90[/tex]

[tex]5b + b = 90\\\\6b = 90\\\\b = \frac{90}{6}[/tex]

Smaller angle, b = 15 degrees.

Read more: https://brainly.com/question/14930619

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