Give the measure of one interior angle of a regular decagon
A.120 B. 135 C. 144 D. 100

Question

Give the measure of one interior angle of a regular decagon
A.120   B. 135     C. 144     D. 100

mathstudent55 · Answer

Do you know of a formula to find the sum of the measures of the interior angles of a polygon?

anonymous · Answer

((sides-2)*180)/sides = angle measure

anonymous · Answer

what are you looking for ?

anonymous · Answer

The sum of the interior angles can be found by using this formula : 
180(n - 2)....n being the number of sides.
a decagon has 10 sides...
180(10 - 2) = 180(8) = 1440 (this is the total of the angles)

Each interior angle can be found with this formula :
(180(n - 2)) / n
(180(10 - 2)) / 10
(180(8)) / 10
1440/10 = 144