ANSWER
The measure of angle N is
[tex]150 \degree[/tex]
EXPLANATION
The sum of interior angles of the given polygon is given by the formula,
[tex] (n - 2) \times 180 \degree[/tex]
where n is the number of sides.
The given polygon has 5 sides, therefore the sum of interior angles
[tex] = (5 - 2) \times 180 = 540 \degree[/tex]
We add all the interior angles and equate to 540°.
This implies that,
[tex](10x - 10) + (18x + 6) +( 17x + 4) = + 90 + 90 = 540[/tex]
This gives us,
[tex]45x + 180 = 540[/tex]
This implies that,
[tex]45x = 540 - 180[/tex]
[tex]45x = 360[/tex]
[tex]x = 8\degree[/tex]
But angle N
[tex] = 18(8) + 6 = 150 \degree[/tex]
The correct answer is A.
