The measure of the interior angle at vertex D is 162°. Hence, option B. is the right choice.
What are polygons?
Polygons are closed plane figures formed by the intersection of 3 or more non-collinear line segments.
What is the sum of all interior angles of a polygon?
The sum of interior angles of an n side polygon = (n-2)180°.
How do we solve the given question?
We are given a 6 side polygon ABCDEF.
∴ n = 2.
The sum of interior angles of polygon ABCDEF = (6-2)180° = 4*180° = 720°.
The angles are 2x, 9x, 2x, 9x, 9x, and 9x.
Their sum = 2x + 9x + 2x + 9x + 9x + 9x = 40x.
This sum = The obtained sum
or, 40x = 720°
or, x = 720°/40 = 18°.
∴ Interior angle at vertex D = 9x = 9*18° = 162°. Hence, option B. is the right choice.
Learn more about Polygons at
https://brainly.com/question/1592456
#SPJ2
