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Complementary angle

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Anonymous

5y ago
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Complementary

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Anonymous

4y ago
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Vertical angles

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4y ago
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Continue Learning about Algebra

How do you determine which is the adjacent side of a right triangle?

There are three sides, hypotenuse, opposite and adjacent. But the adjacent and opposite are not fixed sides: it depends on which of the two acute angles you are examining.For either of the non-right angles, the adjacent side is the one which forms the angle, along with the hypotenuse. For the given angle θ, the length of the adjacent side compared to the hypotenuse (adjacent/hypotenuse) is the cosine (cos θ).


The kind of angle formed by the non-common sides of two adjacent and complementary sides?

That would be a right angle: The measure of complementary angles adds up to 90 degrees. Adjacent angles are angles that share one common side and one common vertex, but no common interior points (the angles don't overlap). The non-common sides of two adjacent angles are the two "outside" sides (the unshared sides). Two adjacent and complementary angles would form a right angle split by a ray/line, and not necessarily bisected (perfectly divided in half).


Are all angles of a parallelogram equal to 90 degrees?

No, only in a square (regular parallelogram).The opposite angles are EQUAL in a parallelogram, and the adjacent angles are SUPPLEMENTARY(they equal 180 degrees).So if any angle in a parallelogram is a right angle, they all are. Otherwise, there are no right angles.The angles of a parallelogram will average 90 degrees, as there are 360 degrees in any quadrilateral, (360/4 - 90) and 180 degrees in two adjacent non-equal angles (180/2 = 90).


How can you use a right angle to determine the classiacation of another angle?

If the other angle is smaller than the right angle, it is an acute angle.If the other angle is the same as the right angle, it is a right angle.If the other angle is bigger than the right angle but smaller than two right angles, it is an obtuse angle.If the other angle is the same as two right angles, it is a straight angle.If the other angle is bigger than two right angle but smaller than four right angles, it is a reflex angle.After four right angles, the other angle starts back at being an acute angle.


What are the 3 trig ratios and how do they work?

A right angle triangle has three sides and three interior angles one of which is 90 degrees. The names of its sides are the adjacent the opposite and the hypotenuse and using the 3 trig ratios we can find the interior angles or lengths of the sides depending on the information given.Tangent angle = opposite/adjacentSine angle = opposite/hypotenuseCosine angle = adjacent/hypotenuseIf we are given the lengths of 2 sides we can work out the angles with the above ratios.If we are given a length and an angle we can work out the lengths of the other 2 sides by rearranging the above ratios.