Question

the sum of two opposite angle of a parallelogram is130 degree .find the mesare of each of angle​

Answer 1

Question ⏬

The sum of two opposite angle of a parallelogram is 130 degree. Find the mesare of each of angle.

Answer ⏬

We know that opposite angles of a Parallelogram are equal. So,

• angle A << angle C
• angle B << angle D

In parallelogram ABCD,

Let angle A + angle C << 130°

But we also know that angle A << angle C

So,

angle A + angle C << 130°

= angle A + angle A << 130°

= 2 x angle A << 130°

= angle A << 130°/2

= angle A << 65°

• angle A << 65°
• angle B << 180° - angle A

(Sum of adjacent angles of a parallelogram << 180°)

angle B << 180° - 65°

angle B << 115°

• angle C << angle A

(Opposite angles of a parallelogram are Equal)

angle C << 65°

• angle D << angle B

(Opposite angles of a parallelogram are Equal)

angle D << 115°