Question

Find the measure of angle N.

150°

8°

90°

294°

Answer 1

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.