Answer :

Given:

Measure of each 5 angles = 172°


Measure of each remaining angles = 160°


Let the total number of sides for polygon be n.


Sum of all angles in given polygon = (5 × 172) + (n – 5) × 160


(5 × 172) + (n – 5) × 160 = (2n – 4) × 90


860 + 160n – 800 = (2n – 4) × 90


160n + 60 = 180n – 360


180n – 160n = 360 + 60


20n = 420


n = 420 / 20


n = 21


Therefore the given polygon has total number of sides equal to 21.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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
RELATED QUESTIONS :

Let’s write then West Bengal - Mathematics

Let’s write then West Bengal - Mathematics

Let’s write then West Bengal - Mathematics

Let’s write whethWest Bengal - Mathematics

let’s find whetheWest Bengal - Mathematics

Let’s find whetheWest Bengal - Mathematics

Let's observe theWest Bengal - Mathematics

let’s write whethWest Bengal - Mathematics

Let’s write the sWest Bengal - Mathematics

Let's prove logicWest Bengal - Mathematics