Two adjacent angles on a straight line are (5x-6)° and 7(x+6)° find value of x and magnitude of both the angles
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Answered by
16
The sum of all angle made by straight line is 180
5x-6+7x+42= 180
12x+36= 180
12x=144
X= 12
First angle= 5x-6=54
2nd angle= 7x + 42=126
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Answered by
18
Since, they are on straight line, their sum is 180°
So,
(5x - 6)° + 7(x + 6)° = 180°
5x - 6 + 7x + 42 = 180
12x + 36 = 180
12x + 180 - 36
12x = 144°
x = 144°/12 = 12°
So, the angles are
(5x - 6)° = 5(12) - 6 = 54°
7(x + 6)° = 7(12+6) = 7(18)° = 126°
So,
(5x - 6)° + 7(x + 6)° = 180°
5x - 6 + 7x + 42 = 180
12x + 36 = 180
12x + 180 - 36
12x = 144°
x = 144°/12 = 12°
So, the angles are
(5x - 6)° = 5(12) - 6 = 54°
7(x + 6)° = 7(12+6) = 7(18)° = 126°
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