92.6k views
0 votes
Find the measure of angle N.

150°



90°

294°

Find the measure of angle N. 150° 8° 90° 294°-example-1

1 Answer

4 votes
ANSWER

The measure of angle N is

150 \degree


Step-by-step explanation

The sum of interior angles of the given polygon is given by the formula,


(n - 2) * 180 \degree


where n is the number of sides.


The given polygon has 5 sides, therefore the sum of interior angles

= (5 - 2) * 180 = 540 \degree



We add all the interior angles and equate to 540°.


This implies that,


(10x - 10) + (18x + 6) +( 17x + 4) = + 90 + 90 = 540


This gives us,


45x + 180 = 540
This implies that,


45x = 540 - 180




45x = 360



x = 8\degree


But angle N

= 18(8) + 6 = 150 \degree


The correct answer is A.
User Fredthemugwump
by
8.2k points

Related questions

asked Apr 9, 2019 172k views
The End asked Apr 9, 2019
by The End
8.1k points
2 answers
1 vote
172k views
asked Jan 1, 2020 96.5k views
Pao asked Jan 1, 2020
by Pao
7.8k points
1 answer
3 votes
96.5k views
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories