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.
Let's denote the measure of the angle as x degrees. The complementary angle would then be 90 - x degrees. According to the given information, we have the equation x = 14(90 - x). Solving this equation, we find x = 70 degrees and the complementary angle is 20 degrees.
No. Assuming the first refers to the measure in degrees, it is 60 times as large.
x+4x=5x=180 x=36 one angle is 36 other angle is 144
50. It is always two times the rotation.
The angles are 157.5 degrees and 22.5 degrees
Opposite angles of a parallelogram are equal, and adjacent angles are supplementary. Let one angle be θ, then the adjacent angle is 4θ + 50° → θ + 4θ + 50° = 180° → 5θ = 130° → θ = 26° → The two adjacent angles are 26° and 154°. → The angles of the parallelogram are 26°, 154°, 26°, 154°.
15°
An angle whose measure is two times 90 degrees is a 180 degree angle, which is also a straight angle.
explement of the angle or conjugate of an angle
go off
The angle= 36, the supplement= 144, the compliment=54
x is the angle you're looking for and 3x is the angle that when added to x must total 180 degrees. Therefore the angle is 45degrees (x + 3x = 180)
The angle is 160 degrees and it's supplement is 20 degrees.
The supplement of an angle x is equal to 180 - x. The measure of an angle that is nine times its supplement can be written as: x = 9(180 - x) You can then solve for the measure of the angle x: x = 1620 - 9x 10x = 1620 x = 162 Therefore, that angle which is nine times its supplement is itself 162 degrees.
25
40-degrees 140-degrees
Let's denote the measure of the angle as x degrees. The complementary angle would then be 90 - x degrees. According to the given information, we have the equation x = 14(90 - x). Solving this equation, we find x = 70 degrees and the complementary angle is 20 degrees.