Question

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

Explanation:

Step1: Recall the opposite angles theorem of parallelogram

In a parallelogram, opposite angles are equal.

Step2: Identify the opposite angles

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

Step3: Set up the equation

Since opposite angles are equal, we have \(3y-15 = 85 + y\)

Answer:

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