Question

Determine the measure of the interior angel at vertex A

Answer 1

C. 84*

If incorrect, my apologies.

Answer 2

The total of interior angles of a polygon is found using the formula 180 x (n-2) where n is the number of sides.

The above figure has 7 sides, so the total of the interior angles is: 180 x (7-2) = 180 x 5 = 900 degrees.

Find X:

Total all angles: 2x+4x+4x+4x+4x+2x+10x = 900

30x = 900

X = 900/30

x = 30

Angle A = 2x = 2*30 = 60 degrees

The answer is A.