Question

E

AB || CD
BC II DE
B
D
2015 Glynyon, Inc.
Find the mZBAC, if ZDEC = 45° and mZEDC = 65°
O 50°
O 70°
O 60°
O 80°

Answer 1

∠BAC=70°

Explanation:

If AB || CD and BC II DE that means the two triangles are congruent or the same, this means ∠BAC°=∠DCE°, ∠ABC°=∠EDC°, and ∠BCA°=∠DEC°. The three angles of a triagle add up to 180°. If ∠DEC=45° and ∠EDC=65°

Total°-(∠DEZ°+∠EDC°)=∠DCE° or ∠ECD°

180°-(65°+45°)=70°

∠BAC°=∠DCE°

Therefore ∠BAC=70°