Question

In a parallelogram ABCD angle A is equal to 57⁰ then measure of other angles is​

Answer 1

Answer :-

• ∠A = 57°
• ∠B = 123°
• ∠C = 57°
• ∠D = 57°

Step-by-step explanation ::

To Find :-

• The measure of other angles

Solution :-

Given that,

• ABCD is a Parallelogram
• ∠A = 57°

Therefore, the measure of other angles are,

The measure of ∠B

⟹ ∠A + ∠B = 180° ... adjacent angles

⟹ 57° + ∠B = 180°

⟹ 57 + ∠B = 180

⟹ ∠B = 180 - 57

⟹ ∠B = 123

• ∠B = 123°

The measure of ∠C

⟹ ∠A = ∠C ... Opposite angles of parallelogram

⟹ 57° = ∠C

• ∠C = 57°

The measure of ∠D

⟹ ∠B = ∠D ... opposite angles of parallelogram

⟹ 123° = ∠D

• ∠D = 123°.

Properties of parallelogram used :-

• Adjacent angles of parallelogram are supplementary [ 180° ]
• Opposite angles of parallelogram are equal.