Question

What equation can be used to solve for angle C?

Answer 1

The formula for calculating the total interior angle in a regular polygon is given as:

total interior angle = (n -2) 180

where n is the number of sides and since there are  sides:

total interior angle = 360°

To get this angle, we know that it is the summation of all angles:

360° = angle A + angle C + angle B + angle D                         ---> 1

Looking closely, we can see that segments BC and AD are parallel which means that:

angle A + angle C = angle B + angle D                                       ---> 2

Substituting equation 2 to 1:

360 = 2 (angle A + angle C)

angle A + angle C = 180

(x + 16) + (6x – 4) = 180 

 

Answer:

B