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16 votes
16 votes
9. The ratio of the measures of the angles in triangle MAP is 2:3:5. Find the measure of the smallestangle.

User SoloPilot
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1 Answer

18 votes
18 votes

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,


\begin{gathered} 2x+3x+5x=180 \\ 10x=180 \\ x=18 \end{gathered}

Therefore, the smallest angle is,


\begin{gathered} 2x=2(18) \\ =36^(\circ) \end{gathered}

Hence, the smallest angle is 36 degrees.

User Dearsina
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