Answer:
The measure of the smallest angle is 27°
Step-by-step explanation:
The triangle has angles with measure ratio 8:3:9, so the sizes of the angles are going to change depends on the ratio.
Let’s name the common value as “α”.
Basing on the angle-sum property, we already know that the sum of the angle in a triangle is 180°.
The measure of each one are:
8α, 3α, 9α
The sum of these is 180°.
Then,
8α + 3α + 9α = 180°
Let’s sum similar values:
20α =180°
α= 180°/20
α= 9
Replacing values, we going to find the measure of each angle:
8(9) = 72°
<u>3(9) = 27°
</u>
9(9) = 81°
The measure of the smallest angle is 27°
