SOLUTION: In the triangle shown below, DB=DC, DE=CE and angle DAE=33. Find the measure of angle ACB. Diagram: https://imgur.com/a/2lXXB1r

Algebra ->  Trigonometry-basics -> SOLUTION: In the triangle shown below, DB=DC, DE=CE and angle DAE=33. Find the measure of angle ACB. Diagram: https://imgur.com/a/2lXXB1r      Log On


   

Question 1148050: In the triangle shown below, DB=DC, DE=CE and angle DAE=33. Find the measure of angle ACB.
Diagram: https://imgur.com/a/2lXXB1r
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


(1) Angles BCD and CBD are congruent because DB=DC
(2) Angles CBD and ADE are congruent because BC and DE are parallel
(3) Angle ADC is twice angle CBD because it is an external angle to isosceles triangle CBD
(4) From (2) and (3), angle CDE is congruent to angle ADE
(5) Angles ECD and EDC are congruent, because EC=ED
(6) Angle AED is twice angle ECD because it is an external angle to isosceles triangle CDE

Use all of that along with the sum of the angles of triangle ADE to find the measure of angle ADE; then you can find the measures of all the angles in the figure.