Question

2. Find the value of y.

Answer 1

y = - 14

Explanation:

Alternate interior angles are two angles that are formed when a transversal intersects two parallel lines. They lie on the opposite sides of the transversal and on the interior of the two parallel lines.

Alternate interior angles theorem states that If two parallel lines are intersected by a transversal, then the alternate interior angles are congruent.

In this case:

60° and (- 5y - 10)° are alternate interior angles.

So,

60 = - 5y - 10

Add 10 on both sides.

60 + 10 = - 5y - 10 + 10

70 = - 5y

Divide both sides by -5.

`\sf (70)/(-5)=(-5y)/(-5)`

-14 = y

Therefore, the value of y is -14.