Question

two adjcent angles on a straight line are (3x-2)degress and 4( x plus 7) degress . find x

Answer 1

The adjacent angles on a straight line add up to 180 degrees
Therefore (3x-2) + 4(x+7) = 180
3x - 2 + 4x + 28 = 180
3x + 4x -2 + 28 = 180
7x + 26 = 180 (subtract 26 from both sides)
7x = 154 (Divide both sides by 7)
x = 22

Answer 2

Solution:-
AS we know that the sum of the two adjacent angles on a straight line is equals to 180°.
Hence, 
⇒ (3x - 2)° + 4(x + 7)° = 180°
3x - 2 + 4x + 28 = 180°
7x = 180 - 28 + 2
7x = 154
x = 22°
So, the two angles are = (3*22) - 2
= 66 - 2 
= 64°
And,
(4*22) + 28
88 + 28
= 116°
Answer.