Question

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

Answer 1

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.