Question

Give answer with correct explaination!!!!!!!!!​

Answer 1

Answer:

D) ∠x=55°, ∠y=110°

Step-by-step explaination:

given:

ABCD is a rectangle

solution:

as DC//AB

therefore ∠OCD=∠OAB   (alternate interior angles)

as ODC is a isosceles Δ so ∠D=∠C=35°

and ∠D+∠C+∠y=180  (angle sum property)

so ∠y= 180-70= 110°

for ∠x:

on lineDOB ∠y+∠BOC= 180° (leniar pair)

so ∠BOC=70°

using property of an isosceles Δ in ΔBOC

2∠x+∠BOC=180° (angle sum property of Δ)

∠x=55°