Two angles of a triangle have equal measures, but the third angle's measure is 82° . Find the measure of each angle of the triangle. Explain your reasoning.

The three angles are 54, 54 and 7

Step-by-step explanation:

Explanation:

The sum of the angles in a triangle is 180

Let the two equal angles be x

Then the third angle equal to 36 less than the sum of the other angles is 2x - 36

and x + x + 2x - 36 =180

Solve for x

4x -36 =180

4x = 180 + 36 = 216

x=216x ÷4=54

So 2x - 36 = (54×2)−36 = 72

CHECK: The three angle are 54 + 54 + 72 = 180, so answer correct

14

step-by-step explanation:

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet