Question

In parallelogram ABCD, mLA

4x + 20 and m2C = x + 26
Find the value of x.
Then find the measure of LA.

Answer 1

Explanation:

In a parallelogram, opposite angles are congruent.

∠A = ∠C

4x + 20 = x + 26

Step 1: To find the valu of 'x', first subtract 20 from both sides

4x = x + 26- 20

4x = x + 6

Step2: Now, subtract 'x' from both sides

4x -x = 6

3x = 6

Step:3: divide both sides by 3

x = 6/3

x = 2

∠A = 4*2 + 20

= 8 + 20

∠A = 28°