The extended ratio 2:8:10 can be rewritten as 2x:8x:10x, where x is a common multiplier.
The sum of the angles in a triangle is always 180 degrees. Therefore, we can set up the equation:
2x + 8x + 10x = 180
20x = 180
x = 9
The smallest angle in the triangle would be 2x:
2(9) = 18
Therefore, the measure of the smallest angle is 18°.
Correct answer: 18°
The measures of the angles of a triangle are in the extended ratio 2:8:10. What is the measure of the smallest angle?
(1 point)
Responses
18°
18°
20°
20°
72°
72°
90°
90°
1 answer
7 answers