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 the other two angles will be ?

Answer :

›»› The other two angles will be 220°.

Given :

• The sum of two opposite angles of a parallelogram is 140°.

To Find :

• The sum of other two angles.

Solution :

Let us assume that, the one angle in sum of opposite angle is x.

As we know that

The sum of two opposite angles of a parallelogram is 140°.

→ x + x = 140

→ 2x = 140

→ x = 140/2

→ x = 70

Now, let us assume that, the other pair of sum of opposite angles is y.

As we know that

The sum of all angles of a parallelogram is 360°.

→ x + x + y + y = 360

→ 70 + 70 + y + y = 360

→ 140 + y + y = 360

→ 140 + 2y = 360

→ 2y = 360 - 140

→ 2y = 220

║Hence, the sum of other two angles will be 220°.║

Verification :

The sum of all angles of a parallelogram is 360°.

→ x + x + y + y = 360

→ 70 + 70 + y + y = 360

→ 140 + y + y = 360

→ 140 + 2y = 360

→ 140 + 220 = 360

→ 360 = 360

Here, LHS = RHS

Hence Verified !

Learn More :

1. The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each of the angles of the parallelogram.

brainly.in/question/27014510

2. The angle of quadrilateral are in the ratio 7 :3:6:15 find all the anglea of the quadrilateral.

brainly.in/question/27244063

Answer 2

Given:

• Sum of two opposite angles of triangle = 140°

To find:

• sum of other two angles

Solution:

let sum of other two angles = a

• // sum of all angles of a parallelogram = 360°// ..( 1 )

⇛140° + a = 360° ... from ( 1 )

⇛a = 360° - 140°

⇛a = 220°

220° is the answer