Answer:
m∠3 = 70°
Step-by-step explanation:
By the properties of a parallelogram,
- Opposite angles of a parallelogram are equal in measure.
- Adjacent angles of a parallelogram are supplementary angles.
m∠2 = m∠4 and m∠1 = m∠3
4x + 30 = 2x + 70
4x - 2x = 70 - 30
2x = 40
x = 20
Therefore, m∠2 = m∠4 = 110°
Since, m∠2 + m∠3 = 180°
110° + m∠3 = 180°
m∠3 = 180° - 110°
m∠3 = 70°
