A triangular playground has angles with measures in the ratio 8 : 6 : 4. What is the measure of the smallest angle?
2 answers:
Answer:
20°
Step-by-step explanation:
One way of doing this is to find the constant of proportionality, k:
8k + 6k + 4k = 90° Then 18k = 90°, and k turns out to be 90/18, or 5.
Then the angles are 8(5), 6(5) and 4(5). The smallest of these angles is thus 20°
let's recall that the sum of all interior angles in a triangle is 180°.
we know the angles are in a 8:6:4 ratio, so we simply divide 180 by (8+6+4) and then distribute accordingly.

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