KavianK166721 KavianK166721
  • 30-10-2022
  • Mathematics
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6. Lines AB and CD are parallel. Find the measures of the three angles in triangle ABF.157"E42°DBYour answer

6 Lines AB and CD are parallel Find the measures of the three angles in triangle ABF157E42DBYour answer class=

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KyarahC230227 KyarahC230227
  • 30-10-2022

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

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