Question

the sum of a pair of opposit angle of a parallelogram is 156° . Find the remaining angle​

Answer 1

Answer:

Sum of all angles in a parallelogram is 360°

Given sum of pair of opposite angle is equal to 156°

Therefore ,

360-156=144°

144° is the answer

Answer 2

★ Figure refer to attachment

Given

• The sum of pair of opposite angle of parallelogram is 156°

Find out

• Find the remaining angle

Solution

★ Let the angle be x

Sum of opposite angle of llgm is 156°

→ x + x = 156

→ 2x = 156

→ x = 156/2 = 78°

Note : Opposite angles of a parallelogram are equal

Therefore, ∠A = ∠B = 78° & ∠B = ∠D

★ As we know that the sum of angle of quadrilateral is 360°

→ ∠A + ∠B + ∠C + ∠D = 360°

→ 78° + 78° + ∠C + ∠C = 360

→ 156 + 2∠C = 360

→ 2∠C = 360 - 156

→ ∠C = 204/2

→ ∠C = 102°

Hence ,

Remaining angles

• ∠A = ∠B = 78°
• ∠C = ∠D = 102°