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
