Question

Which equation is made true by the opposite angles theorem? A. 40 − 2x = 85 + y B. x − 8 = 40 − 2x C. x − 8 = 3y − 15 D. 3y − 15 = 85 + y

Answer 1

The opposite angles theorem states that when two lines intersect, the opposite angles formed are equal. None of the given equations directly represent opposite angles, except for option D: 3y - 15 = 85 + y.

Step-by-step explanation:

The opposite angles theorem states that when two lines intersect, the opposite angles formed are equal. In this case, none of the given equations directly represent opposite angles. However, we can use the theorem to determine if any of the equations are true by comparing the angles in the equations.

Let's analyze the equation:

D) 3y − 15 = 85 + y: This equation represents opposite angles, because the angles 3y - 15 and 85 + y are formed by intersecting lines. Therefore, the correct answer is D.

Answer 2

D.) 3y-15 =85+

Step-by-step explanation:

simply put, opposite angles theorem is where the angles are on the opposite side so the parallelogram in the photo shows that 3y-15 is on the opposite angle as 85+y (I also got this one right lol)