Question

each of other at right angles, then name the
quadrilatoral
O. Y one angle of a parallelogram is twice fits
adjemant angle, in find the angle, of
par alleesgrahस्पेन वन एंगल ऑफ़ ए पैरेललोग्राम इस प्राइस ऑफ इट्स एडजेेंट एंगल फाइंड द एंगल ऑफ द पैरेललोग्राम ​

Answer 1

Correct Question :

›»› One angle of a parallelogram is twice it's adjacent angle, find the angles of a parallelogram.

Answer :

›»› The angles of a parallelogram are 60° 120°, 60°, 120°.

Given :

• One angle of a parallelogram is twice it's adjacent angle.

To Find :

• The angles of a parallelogram.

Solution :

Let us assume that, the one angle of a parallelogram is "x".

As it is given that, one angle of a parallelogram is twice it's adjacent angle.

→ 2x

As we know that, in parallelogram opposite angles are equal. So,

→ x, 2x, x, 2x.

As we know that

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

→ x + 2x + x + 2x = 360

→ 3x + x + 2x = 360

→ 4x + 2x = 360

→ 6x = 360

→ x = 360 ÷ 6

→ x = 60

Therefore,

The angles of a parallelogram will be,

• x = 60°.
• 2x = 2 * 60 = 120°.
• x = 60°.
• 2x = 2 * 60 = 120°.

Hence, the angles of a parallelogram are 60°, 120°, 60°, 120°.

Verification :

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

→ 60 + 120 + 60 + 120 = 360

→ 180 + 60 + 120 = 360

→ 240 + 120 = 360

→ 360 = 360

Here, LHS = RHS

Hence Verified !