Question

If the measure of angle 5 is (3x + 50) degrees and the measure of angle 6 is (5x + 16) degrees, what value of x will guarantee equation AB \\ DE

Answer 1

To AB \\ DEangle 5 should be equal to angle 6

3x + 50 = 5x + 16

5x - 3x = 50-16

2x = 34

x = 17

Answer 2

x = 17

Explanation:

If AB // DE, then angle 5 and angle 6 are alternate interior angle and they should be congruent.

5x + 16 = 3x + 50

Subtract 16 from both sides

5x = 3x + 50 - 16

5x = 3x + 34

Subtract 3x from both sides

5x - 3x = 34

2x = 34

Divide both sides by 2

x = 34/2

x = 17