Question

In a parallelogram ABCD, ∠DAB = 40° , Find the other angles of the parallelogram.

Answer 1

✯Given✯

• Parallelogram ABCD
• ∠DAB = 90°

✯To find✯

• The other angles
• ∠BCD , ∠CBA , ∠ADC

✯Explanation✯

➺∠DAB = ∠BCD = 40°  (Opposite angles of //gm are equal)

➺AD║BC

➺∠CBA + ∠DAB = 180° (Sum of consecutive angles is supplementary)

➺∴∠CBA = 180° - 40°

➺∴∠CBA = 140°

➺ Similarly, ∠ADC = 140° (Opposite angles of //gm are equal)

✭The other angles are✭

• ∠BCD = 40°
• ∠CBA = 140°
• ∠ADC = 140°

✬Extra Information✬

→ Properties of parallelogram:

• Opposite sides are equal
• Opposite sides are congruent
• Opposite angles are equal
• Opposite angles are congruent
• Sum of consecutive angles is supplementary (180°)
• Diagonals bisect each other
• Diagonals divide the parallelogram into two congruent triangles
• If one angle of parallelogram is right angled, then every angle is right angled
• Sum of any two adjacent angles is supplementary (180°)

Answer 2

Answer:

∠DAB = ∠BCD = 40°  (Opposite angles of //gm are equal)

➺AD║BC

➺∠CBA + ∠DAB = 180° (Sum of consecutive angles is supplementary)

➺∴∠CBA = 180° - 40°

➺∴∠CBA = 140°

➺ Similarly, ∠ADC = 140° (Opposite angles of //gm are equal)

Step-by-step explanation: