For which of the following figures, all angles are equal?

Options

A. Rectangle
B. Kite
C. Trapezium
D. Rhombus

Answer

To determine which of the given figures has all angles equal, let's analyze each figure step by step.

### Step 1: Understand the properties of a Rhombus
A rhombus is a quadrilateral where all four sides are of equal length. However, the angles in a rhombus are not necessarily equal. The opposite angles are equal, but adjacent angles are supplementary (they add up to 180 degrees).

**Hint:** Remember that in a rhombus, while all sides are equal, the angles can vary.

### Step 2: Analyze a Trapezium
A trapezium (or trapezoid in some regions) has at least one pair of parallel sides. However, the angles in a trapezium are not equal. Typically, only one pair of angles is equal, while the other pair can vary.

**Hint:** Check if the angles are equal in trapezium; they usually are not.

### Step 3: Look at a Kite
A kite is a quadrilateral with two pairs of adjacent sides that are equal. The angles between the unequal sides are equal, but the angles between the equal sides are not necessarily equal. Therefore, not all angles in a kite are equal.

**Hint:** In a kite, focus on the relationship between the sides and angles; they do not all match.

### Step 4: Examine a Rectangle
A rectangle is defined as a quadrilateral with opposite sides that are equal and all angles equal to 90 degrees. This means that in a rectangle, every angle is equal.

**Hint:** Remember that rectangles have specific angle properties; all angles are right angles.

### Conclusion
From the analysis above, the only figure among the options provided where all angles are equal is the rectangle.

**Final Answer:** Rectangle