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Why do you say a rectangle is a speacial case of a parrallelogram?
A parallelogram is a quadrilateral with two pairs of parallel sides. In the special case that the angles are right angles, the shape becomes a rectangle.
If the measure of angle A is 5 times the measure of Angle B what is the measure of Angle C in an parallelogram?
A parallelogram has four angles where the opposing angles are equal and the opposing sides are parallel (hence the name parallelogram) and are of equal length. All four angles must add up to 360 degrees. Since the opposing angles are equal, any two adjacent angles must therefore add up to 180 degrees. Since A is not equal to B, the two angles must be adjacent, so we can say: A + B = 180 degrees Since A is 5 times B, we can now say: 5B + B = 180 degrees Or more simply: 6B = 180 degrees Dividing both sides by six yields B: B = 30 degrees Knowing B we can now determine A: A = 5B A = 5 x 30 A = 150 degrees According to the rules of parallelograms, if C is opposite A then C must be 150 degrees, otherwise C must be 30 degrees.
What shape has 0 angles?
A Circle would fit this definition nicely, as the sum of its angles is infinite. Infinity, however, is irrational, and therefore we say that it does not have any angles.
Why is a rhombus always a parallelogram but a parallelogram is never a rhombus?
A rhombus is a special kind of parallelogram: one in which all sides are equal. It is not true to say that a parallelogram is never a rhombus.
Are the numbers 11 and 13 and 15 consecutive?
You could say these are consecutive ODD numbers.
