Question

consider parallelogram abcd. which equation is made true by the opposite angles theorem? a. x - 8 = 3y - 15 b. 3y - 15 = 85 + y c. x - 8 = 40 - 2x d. 40 - 2x = 85 + y

Explanation:

Step1: Recall opposite - angles theorem

In a parallelogram, opposite angles are equal.

Step2: Identify opposite angles

In parallelogram \(ABCD\), \(\angle A\) and \(\angle D\) are opposite angles. \(\angle A=(3y - 15)^{\circ}\) and \(\angle D=(85 + y)^{\circ}\).

Step3: Set up the equation

According to the opposite - angles theorem, \(3y-15 = 85 + y\).

Answer:

B. \(3y - 15=85 + y\)