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

why are flowering plants more efficient at pollinating than gymnosperms?
Find the quotient. Simplify your answer!
In a? triangle, the measure of the first angle is three timesthree times the measure of the second angle. the measure of the third angle is 35 degrees35° lessle
Does sleeping and eating healthy maintain the immune system
In which Supreme Court Decision was the principle of separate but equal ruled unconstitutional?
When was under god added to pledge of allegiance?
In designing an experiment involving a treatment applied to 4 test subjects, researchers plan to use a simple random sample of 4 subjects selected from a pool o
The majority of motorists killed in traffic crashes were in____________
How have voting amendments changed American society?
On October 31, 1968, President Johnson announced _____ in order to help Hubert Humphrey's campaign