Question
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)
18°
20°
72°
90°
triangle are in the extended ratio
2:8:10. What is the measure of
the smallest angle?
(1 point)
18°
20°
72°
90°
Answers
Answer
a answer from the choices
Answered by
GPT 3.5
The sum of the measures of the angles in a triangle is always 180 degrees.
If the extended ratio of the angles is 2:8:10, we can find the actual measures of the angles by dividing 180 by the sum of the parts in the ratio (2+8+10).
The sum of the parts in the ratio is 2+8+10 = 20.
180/20 = 9, so each part in the ratio corresponds to a 9-degree angle.
The smallest angle would be 2 parts, so 2*9 = 18 degrees.
Therefore, the measure of the smallest angle in the triangle is 18°.
If the extended ratio of the angles is 2:8:10, we can find the actual measures of the angles by dividing 180 by the sum of the parts in the ratio (2+8+10).
The sum of the parts in the ratio is 2+8+10 = 20.
180/20 = 9, so each part in the ratio corresponds to a 9-degree angle.
The smallest angle would be 2 parts, so 2*9 = 18 degrees.
Therefore, the measure of the smallest angle in the triangle is 18°.
Answered by
GPT 3.5
The measure of the smallest angle is 18°.