az0714
contestada

WILL GIVE BRAINLIEST TO THE FORST PERSON WHO ANSWERS THIS!! In the diagram below, lines AB and ED are parallel. Angle < BCD is a right angle and < CBF = 125 Find angle CDE.

WILL GIVE BRAINLIEST TO THE FORST PERSON WHO ANSWERS THIS In the diagram below lines AB and ED are parallel Angle lt BCD is a right angle and lt CBF 125 Find an class=

Respuesta :

Answer:

35°

Step-by-step explanation:

Produce BC in the direction of C which intersects DE at any point say P.

AB || ED... (given)

So, BP would be transversal.

[tex] \therefore m\angle DPB + m\angle FBP = 180\degree\\... (By\: interior \: \angle \: Postulate) \\

\therefore m\angle DPB + 125\degree = 180\degree\\

\therefore m\angle DPB = 180\degree - 125\degree \\

\huge \red {\boxed {\therefore m\angle DPB = 55\degree}} \\

m\angle DCP = 180\degree - 90\degree \\

m\angle DCP = 90\degree \\

x = 180\degree - (90\degree + 55\degree) \\

x = 180\degree - 145\degree \\

x = 35\degree [/tex]