SOLUTION: AEC,DEB and AB are straight lines.the straights lines DA and CBF are parallel.angle ABF=90�,angle CEB=55�and angle ABE=25�.find angle ADE and find angle EAB ,explaining with reason

Question 955362: AEC,DEB and AB are straight lines.the straights lines DA and CBF are parallel.angle ABF=90�,angle CEB=55�and angle ABE=25�.find angle ADE and find angle EAB ,explaining with reason

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
Angle CEB and angle AEB lie on line AEC and since angle CEB=55 degrees, AEB=125 degrees. FBE and CBE are supplementary along line FBC.Angle FBE=angle FBA (90 degrees)+ angle ABE (25 degrees)=115 degrees, so angle CBE=65 degrees. Angle ADE is alternate to angle CBE, so angle ADE=65 degrees. In triangle ABE we have angle ABE=25 degrees, Angle AEB=125 degrees, so angle EAB=180-125-25=30 degrees
ANSWERS: ANGLE ADE=65 degrees and angle EAB=30 degrees.
RELATED QUESTIONS
line ab and cd intersect at E, If angle AEC=3x+12 and angle deb=5x-48. what is the... (answered by richwmiller)

In the diagram, ABE, ADF, BCF and DCE are straight lines. Angle AED = 30 degrees and... (answered by ikleyn)

In the diagram below, AB, EF and DC are perpendicular to BC. AEC and BED are straight... (answered by ankor@dixie-net.com)

Lines m and n are parallel. The measure of angle 6 is... (answered by greenestamps)

Given: If 2 lines are cut by a transversal (m and n) so that the alternate exterior... (answered by AnlytcPhil)

two lines, AB and CD, intersect at point E. find the values of x and y given that: the... (answered by ankor@dixie-net.com)

What is the measure of angle 6, if lines x and y are parallel, and angle 7 measures... (answered by richard1234)

In the accompanying diagram , lines overleftrightarrow AB and overleftrightarrow CD... (answered by ikleyn)

I can't seem figure out the equation for this geometry word problem: In the... (answered by Theo)