Find the measure of an angle that is 2/3 the measure of its complement.
2007-10-16 10:06:38 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The angle z and its complement makes 90 degree.
So the complement of z is 90 - z. Therefore
z = 2/3(90 -z)
or 3z = 180 - 2z
or 5z = 180
or z = 36
2007-10-16 10:10:01 · answer #1 · answered by ib 4 · 1⤊ 0⤋
If the angle is A and its complement is B, then A = (2/3)*B and A+B = 90.
Substitute the first equation into the second equation and that'll give you the values of A and B.
B should equal 54 and that would mean that A should equal 36
Check that though
2007-10-16 17:17:01 · answer #2 · answered by harshil.patel@sbcglobal.net 2 · 0⤊ 0⤋
Let x = angle
x = 2/3(90 -x)
x = 60 - (2/3)x
(5/3)x = 60
x = 36°
.
2007-10-16 17:10:55 · answer #3 · answered by Robert L 7 · 0⤊ 0⤋
Um...... 2/3 of 90 degrees?
thats a 60 30 and 90 degree triangle.
2007-10-16 17:09:12 · answer #4 · answered by PinoyPlaya 3 · 0⤊ 2⤋