Question

If ∠A=50 in a parallelogram ABCD, then find the rest of the angles of parallelogram ABCD.

Answer 1

Answer:

1. ∠B = 130

2. ∠C = 50

3. ∠D = 130

Step-by-step explanation:

Given:

In parallelogram ABCD, ∠A = 50.

Concepts Used:

1. In a parallelogram, opposite angles are equal.
2. In a parallelogram, the sum of adjacent angles is 180.

Solution:

From concept 1,

∠A = ∠C = 50

From concept 2,

∠A + ∠B = 180

50 + ∠B = 180

⇒ ∠B = 130

From concept 1,

∠D = 130