Question

There is a rectangular playground FEAT which is divided into a triangle and a trapezium as shown in the figure. If EB = EF, find the values of x and y.​

Answer 1

Answer:

Given to us EB=EF

Therefore. ∠EBF=∠EFB

Now in a right angle triangle , sum of all angles =180

∘

Therefore ∠EBF+∠EFB+∠BEF=180

∘

. (and ∠BEF=90

∘

)

(2×∠EBF)+90

∘

=180

∘

Therefore ∠EBF=45∘ =∠EFB

Therefore ∠EFB+∠y=90∘

. (Right angle)

y=45∘

. (because ∠EFB=45∘ )

Similarly ∠EBF+∠x=180∘

. (Linear angle )

45∘

+∠x=180∘

∠x=135∘