Find the size of an angle which is equal to twice its complement.?

0 ⤊

Find the size of an angle which is equal to twice its complement.?

30
60
90

The angles are 150* 120* 30* and 60*.

2007-10-12 04:32:04 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2 answers

Let angle = x
Complement = 90 - x
x = 2(90 - x)
x = 180 - 2x
3x = 180
x = 60
Answer is 60°

2007-10-16 04:06:32 · answer #1 · answered by Como 7 · 0⤊ 0⤋

1) x + y = 90 {complementary angles}\
y = 90 - x

Find the size of an angle which is equal to twice its complement.

x = 2y
x = 2(90 - x)
x = 180 - 2x
3x = 180
x = 60

2007-10-12 11:37:57 · answer #2 · answered by kindricko 7 · 0⤊ 0⤋