What does interior angle a of the polygon in the figure equal? a. 110 b. 150 c. 230 d. 100

STEP-BY-STEP SOLUTION:

First of all, let's establish the angle sum of the shape as displayed below;

Angle sum of a polygon = 180° × no. of triangles in polygon = 180° × 4 = 720°

Now, let's simply subtract the values of all the other angles from the angle sum in order to find the value of angle ( A ) as displayed below:

A + 120 + 110 + 230 + 50 + 100 = 720

A = 720 - 120 - 110 - 230 - 50 - 100

A = 110°

Therefore, the answer is:

Option A - 110°