Answer:
Option C.
Step-by-step explanation:
Option A. The given lines x and y are parallel and line s is a transverse.
Therefore, ∠1 and angle (6x + 8°) will be equal as they are corresponding internal angles. Option A is true.
Option B. ∠1 + 106° = 180° ( supplementary angles )
∠1 = 180 - 106 = 74° Option B is also true
Option C. x and y are parallel lines and t is the transverse.
Therefore, angle between ( 6x + 8)° and (7x - 2)° will be equal to ∠2.
∠2 + (6x + 8)° + (7x - 2)° = 180° [ angles at a point on a straight line]
But in this option ∠1 is given in place of ∠2.
Option C is incorrect.
Option D. ∠1 + ∠2 + (7x - 2)° = 180° [sum of all angles in a triangle measure 180°]
(7x - 2)° + ∠2 = 180 - ∠1
(7x - 2)° + ∠2 = 180° - 74°
(7x - 2) + ∠2 = 106°
This option is also correct.
Option C. is the answer.
