- A395
- B325
- C720
- D360
Step-by-Step Solution
The sum of the exterior angles of any convex polygon, taken one per vertex, is always 360°.
Answer: D) 360
The sum of all the EXTERIOR angles of any quadrilateral (one at each vertex) is ____ degrees.
Class 9QuadrilateralsGeometry — Quadrilaterals
Key idea: Special parallelograms
**Rectangle** (parallelogram + all angles 90°):
- All properties of a parallelogram.
- Diagonals are EQUAL (in addition to bisecting each other).
**Rhombus** (parallelogram + all sides equal):
- All properties of a parallelogram.
- Diagonals bisect each other AT RIGHT ANGLES.
- Diagonals also bisect the angles of the rhombus.
**Square** (rectangle + rhombus):
- All properties of both.
- Diagonals: equal, bisect at right angles, AND bisect angles.
- All properties of a parallelogram.
- Diagonals are EQUAL (in addition to bisecting each other).
**Rhombus** (parallelogram + all sides equal):
- All properties of a parallelogram.
- Diagonals bisect each other AT RIGHT ANGLES.
- Diagonals also bisect the angles of the rhombus.
**Square** (rectangle + rhombus):
- All properties of both.
- Diagonals: equal, bisect at right angles, AND bisect angles.
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The diagonals of a rhombus are 24 cm and 10 cm. Find the side of the rhombus (in cm).In parallelogram ABCD, the diagonal AC bisects ∠A. Which of the following must also be…If the diagonals of a parallelogram are equal, then it is a ____.In ΔABC, D is the midpoint of AB and E is the midpoint of AC. Which statement is correct?In parallelogram PQRS, ∠P = (2x)° and ∠Q = (3x)°. Find ∠P (in degrees).