Question

In the adjoining figure, ABCD is a parallelogram in which ∠BAD = 80⁰ and ∠DBC = 65⁰. The measures of ∠CDB and ∠ADB are​

Answer 1

Answer:

∠ADC = 65°

∠BCD = 80°

Step-by-step explanation:

Opposite angles of a parallellogram are equal.

Answer 2

Answer:

∠CDB = 35° and ∠ADB = 65°

Step-by-step explanation:

To find ∠ADB,

∠ADB = ∠DBC (Alternate interior angles)

∠ADB = 65°

Now,

To find ∠CDB,

∠BCD = ∠BAD (Opposite angles of a parallelogram are equal)

∠BCD = 80°

Since BCD is a triangle in ABCD,

∠DBC + ∠BCD + ∠CDB = 180° (Angle sum property of a triangle)

65° + 80° + ∠CDB = 180°

145° + ∠CDB = 180°

∠CDB = 180° - 145°

∠CDB = 35°