PLEASE INCLUDE STEP-BY-STEP SOLUTION

1. GOAL is a parallelogram. GO = 3x + 4, OA = 2x – 3, AL = 4x – 10. Find the lengths of GO and GL.  

2. The measure of one angle of a parallelogram is 860. Find the measures of the other angles. 

3. Two opposite angles of a parallelogram have measures 5x + 23 and 8x – 19, respectively. Find the measure of the adjacent angle.  

4. Two consecutive angles of a parallelogram have measures 4x + 5 and 6x – 19, respectively find the measures of the angles. 

5. Graph A (2,6), B (6,1), C (1,3) and D(-3,2) 

a. What kind of quadrilateral is defined by these vertices? 

b. What is the measure of each side? 

c. What is the area of the given quadrilateral?  

6. Graph M (7, 3), O (11,8), V (7,7) and E (3,2). Prove that these are vertices of a parallelogram.