Question

ABCD is a square . If < OBC = 40°, Find the measure of
< BOC.​

Answer 1

Answer:

it will be 100

180-(2×40)

Answer 2

GIVEN

ABCD is a square.

∠OBC = 45°

TO FIND

∠BOC

SOLUTION

We can simply solve the above problem as follows;

It is given,

ABCD is a square,

We know that,

Angles of a square = 90°

Sides of a square are equal to each other.

Therefore,

∠OBC = 40°

∠OBC + ∠OBA = 90°

40 + ∠OBA = 90°

∠OBA = 90-40 = 50°

∠OBA = ∠ODC (Alternate angles are equal)

We know that,

DC = BC

∠C = ∠D (Equal angles equal side)

∠OBA = ∠ODA = 40°