Find the angle which is equal to : (1) it's complement (2) 4/5its complement (3)2/3 of its comlement
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Answer:
1) 45 degrees. 2) 40 degrees. 3) 36 degrees.
Step-by-step explanation:
1) Let the angle be x.
x = 90 - x
x + x = 90
2x = 90
x = 90/2 = 45.
2) Let the angle be x
x = 4/5 (90 - x)
x = 72 - 4/5x
x + 4/5x = 72
9/5x = 72
x = 72 * 5/9 = 40.
3) Let the angle be x.
x = 2/3 (90 - x)
x = 60 - 2/3x
x + 2/3x = 60
5/3x = 60
x = 3/5 * 60 = 36.