The measures of the angles of a triangle are in the extended ratio 3 : 5 : 8. What is the measure of each angle? (Round to the hundredths place) (1 point) Responses 34, 56, 90 34, 56, 90 33.75, 56.25, 90.00 33.75, 56.25, 90.00 56.00, 34.00, 90.00 56.00, 34.00, 90.00 33, 56, 90
The sum of the angles in a triangle is always 180°.
Let the three angles be 3x, 5x, and 8x.
According to the given ratio, 3x:5x:8x is equivalent to 3:5:8.
To find the value of x, we can set up the equation:
3x + 5x + 8x = 180°
16x = 180°
x = 180° / 16
x = 11.25°
Now we can find the measure of each angle:
3x = 3(11.25°) = 33.75°
5x = 5(11.25°) = 56.25°
8x = 8(11.25°) = 90°
Therefore, the measure of each angle is 33.75°, 56.25°, and 90°.
The correct answer is: 33.75, 56.25, 90.00