Question

1. find the value of y for which the lines are parallel. 55 68 49 100

Explanation:

Step1: Recall angle - sum property

The sum of angles on a straight - line is 180°. Also, when two lines are parallel, corresponding angles are equal. Let's assume the angles are related in such a way that the sum of the three angles on the straight - line is 180°.

Step2: Set up the equation

We know that \(51+(y + 6)+74=180\).
First, simplify the left - hand side of the equation: \(51+74+(y + 6)=125+(y + 6)=y+131\).
So, our equation becomes \(y + 131=180\).

Step3: Solve for y

Subtract 131 from both sides of the equation: \(y=180 - 131\).
\(y = 49\).

Answer:

49