Question

the sum of two opposite angles of parallelogram is 130 find the measure of each of its angles​

Answer 1

Answer:

other angle is always find it is because it is parallelogram it's formula is l×b

Answer 2

Given:-

• The sum of the opposite angles of a parallelogram is 130°

To Find:-

• Find the measures of each of its angle.

Solutions:-

• Let ABCD be a parallelogram
• Let the sum of its opposite angle be 130°

<A + <C = 130°

The opposite angle are equal in a parallelogram.

<A = <C = x°

⟹ x + x = 130°

⟹ 2x = 130°

⟹ x = 130/2

⟹ x = 65°

• <A = 65° and <C = 65°

⟹ <A + <B = 180° (the sum of adjacent angles of a parallelogram is 180°)

⟹ 65° + <B = 180°

⟹ <B = 180° - 65°

⟹ <B = 115°

• <B = <D = 115° (opposite angle of parallelogram are equal)

Hence, the measures of each angel are <A = 65°, <B = 115°, <C = 65° and <D = 115°.

Some Important:-

A parallelogram is a quadrilateral whose;

• Opposite sides are equal.
• Opposite sides are parallel.
• Opposite angles are equal.
• Adjacent angles sum up to 180°
• Diagonal bisect each other.