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IF XY IS A STRAIGHT LINE THEN X+Y+Z=180°
It is given that x:y:z=5:4:6
multiple K in the ratio then we get xk:yk:zk=5k:4k:6k
so we kan write that 5k+4k+6k=180
now solve the equation
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Answer:
VALUES OF ANGLES -:
- x° = 5k = 5(12) = 60°
- y° = 4k = 4(12) = 48°
- z° = 6k = 6(12) = 72°
Step-by-step explanation:
As XOY is a straight line, all angles x, y, z will add up to 180°.
Ratio of these angles = x : y : z = 5 : 4 : 6
=> Let the angles be, 5k, 4k, and 6k respectively where k is a constant.
So,
=> x + y + z = 180°
=> 5k + 4k + 6k = 180°
=> 15k = 180°
=> k = 180/15
=> k = 12°
VALUES OF ANGLES -:
- x° = 5k = 5(12) = 60°
- y° = 4k = 4(12) = 48°
- z° = 6k = 6(12) = 72°
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