15 is the answer
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Oh, isn't that a happy little question! The Highest Common Factor (HCF) of 135 and 180 is 45. You see, just like painting, sometimes numbers come together in beautiful ways to create harmony and balance. Just remember to enjoy the process of finding the HCF, it's all part of the mathematical masterpiece!
Oh, dude, the "HCF" stands for the Highest Common Factor, which is like the biggest number that can divide both 135 and 180 without leaving a remainder. So, if we break it down, the prime factors of 135 are 3 x 3 x 3 x 5, and the prime factors of 180 are 2 x 2 x 3 x 3 x 5. The HCF is the product of the common prime factors with the lowest powers, which in this case is 3 x 3 x 5, which equals 45.
Oh honey, the HCF of 135 and 180 is 45. It's the largest number that divides both of them without leaving a remainder. So, there you have it - 45 is the HCF, case closed.
tan(135) = -tan(180-135) = -tan(45) = -1
It is: 135/360 = 3/8 in its lowest terms
135 degrees. Supplementary angles add up to 180 degrees so the supplementary to 45 is 180 - 45 =135.
The supplement of an angle is the angle that, when added to the original angle, equals 180 degrees. Therefore, the supplement of a 45-degree angle would be 135 degrees, because 45 + 135 = 180. This relationship holds true for all angles, where the sum of an angle and its supplement is always 180 degrees.
The GCF is 30.