Find the measures of the angles a-k. give a reason for each calculation find the sum of the interior angles for polygon bcegk.

A = 54 because alternate interior angles

b = 72 because 54+54=108 and 180-108=72

c = 108 because b and c are supplemental angles

d = 72 because b and d are corresponding angles

e = 162 because 72+90=162 and definition of a straight line

f = 18 because definition of a straight line

g = 81 because definition of an isosceles triangle

h = 49.5 because vertical angles and definition of an isosceles triangle

i = 130.5 because definition of a straight line

j = 31.5 because 49.5-18=31.5

k = 99 because corresponding angles

bcegk = 540