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
Divide "1" by the argument "z" of the arcsec(z) function. Note, that "z" is equal to secant(angle) and 1/z is cosine (angle).For example, if arcsec(4) then cosine is "1/4" value or 0.25.Using a calculator, calculate the arccosine (arccos) function of "1/z" to get arcsec(z). Angle=arcsec(z)= arccos(1/z).In the example, arcsec(4)= arccos(0.25)=75.52 degrees.Calculate arcsecant if the function is given as arcsec(sec(Z)) e.g. arcsec(sec(45)). In such a case you do not need to calculate the secant value and then follow Steps 1 and 2. Instead, get an instant answer: arcsec equals Z. In this example, arcsecant of sec(45) is 45.
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.
6
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
because its angles are acute
Adjacent
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.
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
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.
Divide "1" by the argument "z" of the arcsec(z) function. Note, that "z" is equal to secant(angle) and 1/z is cosine (angle).For example, if arcsec(4) then cosine is "1/4" value or 0.25.Using a calculator, calculate the arccosine (arccos) function of "1/z" to get arcsec(z). Angle=arcsec(z)= arccos(1/z).In the example, arcsec(4)= arccos(0.25)=75.52 degrees.Calculate arcsecant if the function is given as arcsec(sec(Z)) e.g. arcsec(sec(45)). In such a case you do not need to calculate the secant value and then follow Steps 1 and 2. Instead, get an instant answer: arcsec equals Z. In this example, arcsecant of sec(45) is 45.
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.