Question

If angles of a quadrilateral are x-15 , x, x+20 and 2x+5 then find the angles of the parrallelogram

Answer 1

THANKS FOR THE QUESTION :

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GIVEN :

=> ANGLES OF A QUADRILATERAL :

=> ( X - 15 )°

=> ( X ) °

=> ( X+ 20 ) °

=> ( 2X+ 5 ) °

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=> SUM OF MEASURES OF ALL ANGLES OF A QUADRILATERAL :

=> 360°

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=> ( X - 15 ) ° + X ° + ( X + 20 ) ° + ( 2X + 5 ) ° = 360°

=> 5 X - 15 + 20 + 5 = 360°

=> 5X + 10 = 360°

=> 5X = 360 ° - 10 °

=> 5X = 350°

=> X = ( 350 / 5 )°

=> X = 70°

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1ST ANGLE :

=> ( X - 15 )°

=> ( 70 - 15 ) °

=> 55°

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SECOND ANGLE :

=> X°

=> 70°

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THIRD ANGLE :

=> ( X + 20 )°

=> ( 70 + 20 ) °

=> 90°

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4TH ANGLE :

=> ( 2X + 5 ) °

=> ( 2* 70 + 5 ) °

=> 140 + 5

=> 145°

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MEASURE OF ALL THE ANGLES OF THE PARALLELOGRAM ARE :

1. => 55°
2. => 70°
3. => 90°
4. => 145°

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HOPE IT WILL HELP U.....

THANKS AGAIN.....

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