Math, asked by Anonymous, 1 year ago

Chapter
Quadrilateral

The sum of the two opposite angles of a parallelogram is 150°. Find all the angles of the parallelogram?


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Answers

Answered by SmãrtyMohït
7
Here is your solution

given:-

sum of the two opposite angles of a parallelogram is 150°

it's means angle must be 75° and 75°
because parallelogram opposite side are same.

Other angle of parallelogram is
360°- 150° = 210°

so it will be 105° and 105° [equal ]

The angle of parallelogram are 75° 75° 105° and 105 °

I hope it helps you
Answered by Anonymous
3
Hey mate!!!

Here is your answer.

A parallelogram is a quadrilateral in which the opposite sides are equal and parallel.

The opposite sides and angles of a parallelogram are equal.

Let the opposite angles of the llgm be x each
→x+x=150°
→2x=150
→x=75°

Opposite angles be 75°each.

Other adjacent angle.


The sum of adjacent angles are 180°
→y+75=180
→y=180-75
→y=105°

Hence the angles are 75° 105° 75° 105°.






Hope this would be helpful.


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