Ieuebdui18272 Ieuebdui18272
  • 04-02-2022
  • Mathematics
contestada

Find the number of sides of a regular polygon in which the measure of an interior angle is three times the measure of an exterior angle.

Respuesta :

palazzolorachel palazzolorachel
  • 04-02-2022
The sum of the interior angles of any polygon is given by (n-2)180°, where n is the number of sides.

Also sum of all the exterior angles of any polygon is 360°

Given (n-2)180° = 3(360°)

=> n-2 = 6

=> n = 8.

Hence the number of sides of a polygon is 8
Answer Link

Otras preguntas

Of all the species in the world 4, out of every 5 are insects. What percentage of species are insects
How to spell 6007200 in word form
Given f(x)=x^2+3 and g(x)=x+5/x. Find (g o f)(4)
When running in cold weather, which one of the following materials is not recommended for layering next to the skin? A. Polyester B. Cotton C. Wool
the eighth amendment, "prohibition," was reversed by the
Poor aerobic capacity can make it difficult to A.stretch properly B.keep up during games C.lift heavy weights D.follow an exercise plan Which of these conta
The prime factorization of 60 is the same as the prime factorization of 30 except that the prime factorization of 60 has one more factor. What is that factor? W
which equation represents a vertical line ? y = -x y = 12 x = y x = 12
The prime factorization of 60 is the same as the prime factorization of 30 except that the prime factorization of 60 has one more factor. What is that factor? W
least to greatest 0.94,9.40,0.094,94.0,94.0