In a rectangle, the diagonals are equal in length and they bisect each other, which means they cut each other in half. This creates four right triangles within the rectangle.

Given that ∠COD is 78°, we can find ∠COB because in a triangle, the sum of angles is 180°.

So, ∠COB = 180° - 90° - 78° = 12°.

Since the diagonals bisect the angles of the rectangle, ∠OAB = ∠COB = 12°.

Question

In a rectangle, the diagonals are equal in length and they bisect each other, which means they cut each other in half. This creates four right triangles within the rectangle.

Given that ∠COD is 78°, we can find ∠COB because in a triangle, the sum of angles is 180°.

So, ∠COB = 180° - 90° - 78° = 12°.

Since the diagonals bisect the angles of the rectangle, ∠OAB = ∠COB = 12°.

Knowee AI · Accepted Answer

In a rectangle, the diagonals are equal in length and they bisect each other, which means they cut each other in half. This creates four right triangles within the rectangle.

Given that ∠COD is 78°, we can find ∠COB because in a triangle, the sum of angles is 180°.

So, ∠COB = 180° - 90° - 78° = 12°.

Since the diagonals bisect the angles of the rectangle, ∠OAB = ∠COB = 12°.

The diagonals of rectangle ABCD intersect at a point O. If ∠COD is 78°, then find ∠OAB.

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