EricssonT615786 EricssonT615786
  • 29-10-2022
  • Mathematics
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9. The ratio of the measures of the angles in triangle MAP is 2:3:5. Find the measure of the smallestangle.

Respuesta :

AndreahI322131 AndreahI322131
  • 29-10-2022

Given:

The ratio of sides of triangle MAP is 2:3:5.

To find the smallest angle:

Let the sides be 2x, 3x, and 5x.

Using the angle sum property of the triangle,

[tex]\begin{gathered} 2x+3x+5x=180 \\ 10x=180 \\ x=18 \end{gathered}[/tex]

Therefore, the smallest angle is,

[tex]\begin{gathered} 2x=2(18) \\ =36^{\circ} \end{gathered}[/tex]

Hence, the smallest angle is 36 degrees.

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