Question

if two angles of a parallelogram are 5 x + 5 degree and 10 X + 25 degree then find the value of x​

Answer 1

Answer:

10

Step-by-step explanation:

sum of angles of parallelogram = 360°

then,

2(5x+5)+2(10x+25) = 360

10x+10+20x+50 =360

30x+60 =360

X =(360-60)÷30

X =10

Answer 2

Answer:

Step-by-step explanation:

Given:-

1st side = ( 5x + 5 ) °

2nd side = ( 10x + 25 ) °

we know that opposite angles in the quadrilateral are equal,

So using that property we can derive x value

Let 1st side be ∠ 1 ( angle 1 ) and the 2nd side be ∠2 ( angle 2 )

the other angles are ∠3 and ∠4

∠1 = ∠3 and ∠2 = ∠4

so the equation we get is:

⇒ ( 5x + 5 ) ° + ( 10x + 25 ) ° + ( 5x + 5 ) ° + ( 10x + 25 ) ° = 360°

opening  brackets we get :

⇒ ( 5x + 5 + 10x + 25 + 5x + 5 + 10x + 25 )°  = 360°

grouping x's to one side and numbers to other side we get :

⇒ ( 5x + 10x + 5x + 10x + 5 + 25 + 5 + 25 )° =  360°

⇒ ( 30x + 60 ) ° = 360 °

⇒ ( 30x ) ° + 60° = 360°

⇒ ( 30x )° = 360° - 60°

⇒ ( 30x )° = 300°

⇒ x = $\frac{300}{30}$

x = 10°

substituting value of x

1st angle = 5x + 5 ⇒ 5 × 10 + 5 ⇒ 50 + 5 ⇒ 55°

2nd angle = 10x + 25 ⇒ 10 × 10 + 25 ⇒ 100 + 25 ⇒ 125°

3rd angle = 1st angle = 55°

4th angle = 2nd angle = 125°

if we add them we can verify the Quadrilateral's Angle sum property

JUST IN CASE :) whether it is right or wrong !

∠1 + ∠2 + ∠3 +∠4 = 360°

55° + 125° + 55° + 125° = 360°

180° + 180° = 360°

360° = 360°

hence verified that This answer is correct and value of x is also correct :)

With Lots of effort solved this answer :)

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