Question

Find x and y in the following figure.​

Answer 1

Answer:

x = 60° ; y = 60°

Step-by-step explanation:

Given,

AB = BC = CD = DA; ∠AOB = ∠AOD = ∠COD = ∠BOC = 90° ; ∠OAB = 30°

To find, X = ? ; Y = ?

In triangle AOB,

∠OAB + ∠ AOB + ∠ABO = 180° ( Angle sum property of triangle )

30 + 90 + X = 180°

120 + X        = 180°

X                  = 180° - 120° = 60°

Therefore X = 60°

Now, in triangle ABD,

AD = AB ( Given )

Therefore,

∠X = ∠Y = 60° ( Angles opposite to equal sides of a triangle are equal )

Therefore,

X = 60° ; Y = 60°