Answer:
x = 23°
Step-by-step explanation:
In a parallelogram, sum of consecutive angles (adjacent angles) are supplementary.
m∠J + m∠K = 180
3x + 7 + 5x - 11 = 180
3x + 5x + 7 - 11 = 180
Combine like terms,
8x - 4 = 180
Add 4 to both sides,
8x = 180 + 4
8x = 184
Divide both sides by 8,
x = 184÷ 8
x = 23°
m∠J = 3x + 7
= 3*23 + 7
= 69 + 7
= 76°
m∠K = 5x -11
= 5*23 - 11
=115 - 11
= 104°
