The measure of the smallest angle of the triangular playground is 40°.
What is a triangle?
A triangle is a two-dimensional geometrical figure with three sides, three angles, and three vertices.
Give, the ratio of the angles of the triangular playground is 8:6:4.
Let, the angles are 8x, 6x, and 4x.
Therefore, (8x + 6x + 4x) = 180°
⇒ 18x = 180°
⇒ x = 10°
Therefore, the measure of the smallest angle is
4x = 4 × 10° = 40°.
Learn more about a triangle here: brainly.com/question/12323181
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