How do you find the smallest and largest angle of a triangle?
The angle opposite the smallest side of a triangle has the smallest measure. Likewise, the angle opposite the largest side has the largest measure.
How do you find the measure of a middle angle?
For finding the central angle in radians, we have to divide the arc length by the length of the radius of the circle.
What is the value of the smallest angle?
1
The smallest angle is 1. It is acute and is smaller than a right angle.
How do you find the measure of the smallest angle of a triangle?
To find the measure of the smallest angle of the triangle, we multiply 4 times 10. So, 4 x 10 = 40. The answer is 40 degrees. Remember, the sum of the angles of a triangle is 180 degrees.
How do you find the size of the largest angle in a triangle?
It is usually best to find the largest angle first, the one opposite the longest side. Then, set up a proportion using the Law of Sines to find the second angle. Finally, subtract these angle measures from 180° to find the third angle.
How do you find the degree of a central angle?
(arc length) ÷ circumference = (central angle) ÷ 360° The central angle will be in degrees. This formula makes sense, if you think about it. The length of the arc out of the total length around the circle (circumference) is the same proportion as the arc’s angle out of the total angle in a circle (360 degrees).
How do you find the central angle of a triangle?
To find the measure of the central angle of an equilateral triangle, make a circle in the middle… A circle is 360 degrees around… Divide that by three angles… So, the measure of the central angle of an equilateral triangle is 120 degrees.
What is the least possible value of the smallest angle in a triangle if the largest angle in the triangle is 75?
The least value for the smallest angle will be when the other two angles are as large as possible. The largest value that the other two angles can take is 70o each. The correct answer is Choice (C).