Question

The sum of two opposite angles of a parallelogram is 1400

, then the sum of the

other two angles will be ​

Answer 1

Correct Question :-

The sum of two opposite angles of a parallelogram is 140° , then the sum of other two angles will be ?

Solution :-

Since parallelogram is a quadrilateral , so as we know that sum of all angles in a quadrilateral will be 360° similarly sum of all angles in a parallelogram is also 360° & opposite angles of a parallelogram are always equal so , let the one angle in sum of opposite angle be x & let the other pair of sum of opposite angles be y

So ,

• x + x = 140° → 2x = 140° → x = 70°

• y + y = ?

Now using angle sum property of a parallelogram

→ x + x + y + y = 360°

→ 140° + 2y = 360°

→ 2y = 360° - 140°

→ Sum of other two angles = 220°

Hence , sum of other two angles = 220°

Answer 2

Question

The sum of two opposite angles of a parallelogram is 140°, then sum of the other two angles will be?

Solution

Sum of two opposite angles of parallelogram = 140°

We know that the opposite angles of parallelogram is always equal.

Let, one angle be x

it's opposite angle be also x

ATP

$x + x = 140 \\ = ) \: 2x = 140 \\ = ) \: x = \frac{140}{2} \\ = ) \: x = 70$

Let, other angle be y

it's opposite angle be also y

We know that the sum of all angles of parallelogram is 360°.

ATP

$70 + 70 + y + y = 360 \\ = ) \: 140 + 2y = 360 \\ = ) \: 2y = 360 - 140 \\ = ) \: 2y = 220 \\ = ) \: y = \frac{220}{2} \\ = ) \: y = 110$

Ans:- The angles are 70°,70°,110°and 110°.