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ABCD is a quadrilateral in which angle A 40 degrees and angle B 150 degrees. Could ABCD be a parallelogram?
for a+ NEVERIn a parallelogram opposite angles are equal. Thus angle c = angle a = 40o.The sum of all the angles in a quadrilateral is 360o, so:angle a + angle b + angle c + angle d = 360o=> 40o + angle b + 40o + angle d = 360o=> angle b + angle d = 280o.
If one angle in a parallelogram is it a rectangle?
If you mean if one of the angles is a right angle, then yes, because a rectangle is the only option left if it is to remain a parallelogram.
What does the phrase 'angle sum' mean?
It means the sum of the angle measurements.
Does a parallelogram rectangle have a reflex angle?
No, parallelograms and rectangles cannot have reflex angles. This is because 1. The sum of their interior angles must be 360 degrees. 2. Opposite angles must be equal. 3. If it were the case that a reflex angle existed, two angles would have to be greater than 180 by 2. 4. But by 1, the two angles would now sum over 360, and that cannot occur for a four-sided polygon.
In this parallelogram the measure of angle b is twice the measure of angle a What is the measure of angle a?
The adjacent angles of a parallelogram are supplementary. This means that angle A + angle B = 180 deg.Since angle B = 2*angle A, then angle A + 2*angle A = 180 deg ie 3*angle A = 180 deg so that angle A = 60 deg.
