Question

# If , then the measure of = _____________.

- 80°
- 40°
- 100°
- 20°

Hint:

### properties of rectangle

opposite sides are parallel and equal to each other.

Each interior angle is equal to 90 degrees.

The sum of all the interior angles is equal to 360 degrees.

**diagonals bisect each other.**

Both the diagonals have the same length.

## The correct answer is: 40°

### The diagonals of a rectangle are equal ( diagonals bisect each other)

So, AB = BD = BC = BE

In isosceles triangle , AB = BE

So,

### Related Questions to study

### In the envelope ACDB, if AD = 7 cm, then find the length of diagonal BC.

### In the envelope ACDB, if AD = 7 cm, then find the length of diagonal BC.

### The value of g in parallelogram PQRS is ____.

Opposite sides are parallel ( distance between the opposite sides will be equal)

Opposite sides are congruent.

Opposite angles are same and congruent as well.

diagonals of a parallelogram bisect each other.

Each diagonal of a parallelogram separates it into two congruent triangles.

Same-Side interior angles (consecutive angles) are supplementary

### The value of g in parallelogram PQRS is ____.

Opposite sides are parallel ( distance between the opposite sides will be equal)

Opposite sides are congruent.

Opposite angles are same and congruent as well.

diagonals of a parallelogram bisect each other.

Each diagonal of a parallelogram separates it into two congruent triangles.

Same-Side interior angles (consecutive angles) are supplementary