Question

30 points! Please help and explain the steps! I have to explain this in class. If you’re not sure don’t answer! Thank you!

Answer 1

m∠3 = 70°

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°