Question

Find the values of a and b for which LMNO is a parallelogram

A. A=50,b=60
B. A=60,b=50
C. A=50, b=70
D. A= 70,b=50

Answer 1

a = 50, b = 70

Explanation:

In a parallelogram, opposite angles are congruent so we can write the following equation to solve for b:

b + 20 = 2b - 50

-b = -70

b = 70

To solve for a:

a + 40 = 2a - 10

-a = -50

a = 50