Q. 83.8( 25 Votes )

The angle in one regular polygon is to that in another as 3:2 and the number of sides in first is twice that in the second. Determine the number of sides of two polygons.

Answer :

Let the number of sides in the first polygon be 2x and the number of sides in the second polygon be x.


We know that angle of an n-sided regular polygon


The angle of the first polygon


The angle of the second polygon


Thus,




2x – 2 = 3x – 6


x = 4


Thus,


Number of sides in the first polygon = 2x = 8


Number of sides in the second polygon = x = 4


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Unit and Measurement - 03Unit and Measurement - 03Unit and Measurement - 0358 mins
Trigonometric Ratios of Sub AnglesTrigonometric Ratios of Sub AnglesTrigonometric Ratios of Sub Angles35 mins
Measurement of Pressure & Dalton's Law.Measurement of Pressure & Dalton's Law.Measurement of Pressure & Dalton's Law.64 mins
Unit and Measurement - 02 (Updated)Unit and Measurement - 02 (Updated)Unit and Measurement - 02 (Updated)45 mins
Trigonometry ratios of allied anglesTrigonometry ratios of allied anglesTrigonometry ratios of allied angles41 mins
Unit and Measurement - 06Unit and Measurement - 06Unit and Measurement - 0653 mins
Unit and Measurement - 04Unit and Measurement - 04Unit and Measurement - 0467 mins
Unit and Measurement - 05Unit and Measurement - 05Unit and Measurement - 0567 mins
Quiz - Trigonometric Ratios of Sub AnglesQuiz - Trigonometric Ratios of Sub AnglesQuiz - Trigonometric Ratios of Sub Angles33 mins
Trigonometry ratios of allied angles | Interactive QuizTrigonometry ratios of allied angles | Interactive QuizTrigonometry ratios of allied angles | Interactive Quiz38 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses