Question

the adjacent angles of a parallelogram are x degrees and (2x+30) degrees find all the angles of parallelogram

Answer 1

so if we suppose a ||gm abcd

then, as we know in ||gm sum of all angles = 180

and angle a and angle b are the adjacent angles

also, in a ||gm opposite angles are equal...

therefore, (2x+30) + x + 2x+30 + x = 180°

⇒ 6x + 60 = 180°

⇒ 6x = 180° - 60°

⇒ 6x= 120°

⇒ x = 120/6

⇒x = 20°

⇒2x + 30 = 2 × 20 + 30 = 70°

so the four angles are-

⇒20°,20°, 70° and 70°

Answer 2

Hola !!

Here is your answer ____________________
______________________________

⭕ PARALLELOGRAM :

⏺A polygon whose opposite sides are parallel to each other.

⏺The opposite angles are equal to each other.

One angle of parallelogram = x

Opposite angle = x

Another angle = 2x + 30

Opposite angle = 2x + 30

Sum of all angles = 360°

x + x + 2x + 30 + 2x + 30 = 360°

6x + 60 = 360

6x = 360 - 60

x = 300/6

x = 50

One angle = 50° ANS

Opposite angle = 50° ANS

Another angle = 2 × 50 + 30

= 130°ANS

Opposite angle = 130° ANS


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