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) (Show Source):
You can put this solution on YOUR website! .
.
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