When two parallel lines are intersected by a transverse line, they form eight angles. You can consider the parallel lines as the horizontal lines of the letter Z and the transversal as the sloped line of Z. Then the two angles in that Z-shape are the Z angles. The transversal for Z-angles can slope either way.
It can be proved that Z-angles, properly called ALTERNATE angles, are equal.
An 'F' angle is called a corresponding angle, a 'Z' angle is called an alternate angle and a 'C' angle is called a supplementary angle.
Let the sides be x y z and their opposite angles be X Y Z Using the cosine rule angle X = 41 degrees Using the cosine rule angle Y = 115 degrees Angle Z: 180-41-115 = 24 degrees
Very simple, let's mount a linear system: x=measure of the angle; y=supplement; z=complement: I:x+y= 180; II:x+z= 90; III: y+z= 150; Summing I with II we have: I+II: 2x+y+z= 270; III: y+z=150 Now, subtracting III from I+II we have a simple equation: 2x=120; >x= 60< So, the angle whose sum of the measures of its complements and supplement is 150, has 60 degrees.
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Oh, what a happy little question! To put arcsec in a calculator, you simply press the "2nd" or "Shift" key on your calculator, then find the "sec" button. This will allow you to calculate the arcsec of an angle and create beautiful mathematical landscapes. Just remember, there are no mistakes, only happy little calculations!
x and y are complementary so x + y = 90 and so y = 90 - x z and q are complementary so z + q = 90 and so q = 90 - z x = z so 90 - x = 90 - z that is y = q
Alternate Angle
No But X is
An 'F' angle is called a corresponding angle, a 'Z' angle is called an alternate angle and a 'C' angle is called a supplementary angle.
zero angle - an angle whose measure is zero
Adjacent
because its angles are acute
Let the sides be x y z and their opposite angles be X Y Z Using the cosine rule angle X = 41 degrees Using the cosine rule angle Y = 115 degrees Angle Z: 180-41-115 = 24 degrees
The letter "Z" has two acute angles. An acute angle is any angle that measures less than 90 degrees, and the two angles in the letter "Z" are less than 90 degrees. Each acute angle in the letter "Z" is formed by the intersection of two line segments at a point where the interior angles are less than 90 degrees.
A complementary angle is an angle that when added to another angle creates a 90o angle. A supplementary angle is an angle that when added to another angle creates a 180o angle.
Triangle ABC is congruent to triangle XYZ if AB=XY, BC=YZ, and CA=ZX. Also angle A=angle X, angle B=angle Y, and angle C= angle Z.
Very simple, let's mount a linear system: x=measure of the angle; y=supplement; z=complement: I:x+y= 180; II:x+z= 90; III: y+z= 150; Summing I with II we have: I+II: 2x+y+z= 270; III: y+z=150 Now, subtracting III from I+II we have a simple equation: 2x=120; >x= 60< So, the angle whose sum of the measures of its complements and supplement is 150, has 60 degrees.