Question

Find the values of a, b, and c. Note: This diagram is not to scale.

a) a=41, b=144, c=36
b) a=77, b=118, c=62
c) a=36, b=103, c=77
d) a=36, b=118, c=62

Answer 1

First we have to find supplement angle of 139° :180° - 139° = 41°c = 180° - ( 77° + 41° ) 180° - 118° = 62°Also b and c are the supplement angles:b = 180° - 62° = 118°Angle x is the angle between angles 36° and 77°, such that:36° + x + 77° = 139°x + 113° = 139°x = 26°a + b + x = 180°a + 118° + 26° = 180°a = 180° - 144°a = 36°Answer: D. a = 36°, b = 118°, c = 62°