two parallel lines are crossed by a transversal. what is the value of y? o y = 40 o y = 80 o y = 100 o y = 120
two parallel lines are crossed by a transversal. what is the value of y? o y = 40 o y = 80 o y = 100 o y = 120
Answer
Explanation:
Step1: Recall angle - relationship
When two parallel lines are crossed by a transversal, corresponding angles are equal and adjacent angles on a straight - line sum to 180°. The 80° angle and the angle adjacent to (y) are corresponding angles, so the angle adjacent to (y) is 80°.
Step2: Use the linear - pair property
Since the angle adjacent to (y) and (y) form a linear pair (sum to 180°), we can write the equation (y + 80=180).
Step3: Solve for (y)
Subtract 80 from both sides of the equation: (y=180 - 80).
Answer:
(y = 100)