SOLUTION: For triangle ABC below, D and E are points on the sides of the triangle. If AB is parallel to DE, what is the measure of angle ACB? Answer Choices: A. 80° B. 100° C. 125° D.

Algebra ->  Triangles -> SOLUTION: For triangle ABC below, D and E are points on the sides of the triangle. If AB is parallel to DE, what is the measure of angle ACB? Answer Choices: A. 80° B. 100° C. 125° D.      Log On


   



Question 1012733: For triangle ABC below, D and E are points on the sides of the triangle. If AB is parallel to DE, what is the measure of angle ACB?
Answer Choices:
A. 80°
B. 100°
C. 125°
D. 150°
E. 155°

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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Angle CBA = 25 degrees given
Angle CED=25 degrees corresponding angles are equal
Angles BAC and EDC are supplementary
Angle BAC=125 degrees so Angle EDC=55 degrees
Angle ACB is the third angle in a triangle
ANGLE CED + Angle EDC + Angle ACB = 180 degrees
25 degrees + 55 degrees + Angle ACB = 180 degrees
Angle ACB = 100 degrees