Question

6. Lines AB and CD are parallel. Find the measures of the three angles in triangle ABF.157"E42°DBYour answer

Answer 1

157 is an exterior angle to A.

157+ A = 180

A = 180-157

A = 23°

C and 42° both add up to 180°

C+42 = 180

C = 180-42

C= 138°

C and B(exterior) are corresponding angles: (C=B)

138+ B (int)= 180

B= 180-138

B= 42

The sum of all interior angles of a triangle adds up to 180°.

23+42+ F = 180

F= 180-42-23

F = 115