The interior angles of polygon measure 150 degree each. The number of diagonals of the polygon is_______
(A) 35
(B) 44
(C) 54
(D) 78
Please explain step by step.

Question

The interior angles of polygon measure 150 degree each. The number of diagonals of the polygon is_______ (A) 35 (B) 44 (C) 54 (D) 78 Please explain step by step.

Sunil Raikwar · Answer

each interior angle of a regular polygon=(n-2).180/n (n-2).180=150n 6n-12=5n n=12 no. of diagonal=n(n-3)/2=12x9/2=54 Thanks & Regards Sunil Raikwar askIITians Faculty

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

The interior angles of polygon measure 150 degree each. The number of diagonals of the polygon is_______ (A) 35 (B) 44 (C) 54 (D) 78 Please explain step by step.

The interior angles of polygon measure 150 degree each. The number of diagonals of the polygon is_______
(A) 35
(B) 44
(C) 54
(D) 78
Please explain step by step.

1 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Algebra

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship