Question

The four angles of a quardilateral are (x+10)degree , (2x-5)degree , (x-25)degree and (x+15) degree. Find the value of x.​

Answer 1

Answer:

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Step-by-step explanation:

I  THINK  THIS  IS YOUR  QUESTION  

Sum of angles of quadrilateral is 360  

o

 

⇒x+10+2x+5+2x−20+2x−5=360

⇒7x=370

⇒x=  

7

370

​  

=52.86

⇒ Angles =62.86, 110.71, 85.72, 100.72.

Answer 2

Answer:

$sum \: of \: the \: interior \: angles \: of \: a \: quadrilateral = 360 \: degree \\ (x + 10) + (2x - 5) + (x - 25) + (x + 15) = 360 \\ x + 2x + x + x + 10 - 5 - 25 + 15 = 360 \\ 5x - 10 = 360 \\ 5(x - 2) = 360 \\ x - 2 = 72 \\ x = 72 + 2 \\ x = 74 \: degree$