Question

in the adjecent figure ,DE ,BC ADE = 60 deegri and C = 70 deegri find the values of X deegri ,Y deegri and Z deegri

Answer 1

As, DE||BC and AB is the transversal
=> angle ADE = angle ABC
=> angle ABC = 60°
=> x° = 60°.
and
As, DE||BC and AC is the transversal
=> angle AED = angle ABC
=> y° = 70°.
Also,
We know that the sum of the angles of a triangle is 180°
=> angle A + angle B + angle C =180°
=> z° + 60° + 70° = 180°
=> z° = 180°- 130°
=> z° = 50°.
Hence x° = 60°,y°=70°,z°=50°.