Question

Solve for a and determine the measure of each angle:

Answer 1

(5a-23) + (4a + 44) + (2a + 16) =180
11a + 37 = 180
11a =180-37
11a = 143
a = 143/11
a= 13

Measure of each angle

(5a-23) = 5(13)-23=42°

(4a + 44) = 4(13) + 44=96°

(2a+16) = 2(13) + 16 = 42°

Answer 2

a =13

Explanation:

180= (44+16-23)+11a

143=11a

143÷11= 13