Question

if the angles of a quadrilateral are xdegree, (x-10)degree,(x+30) and 2x degree then the greatest angle is

Answer 1

Step-by-step explanation:

$\huge\begin{lgathered}\frak\red{answEr}\end{lgathered}$

➡️we know that,,

sum of angles of quadrilateral=360°

➡️

x° + (x-10)° + (x+30)°+ (2x)° = 360

====> x+x+x+2x+30-10=360

====> 5x + 20 = 360

====> 5x = 340

====> x = 68°

putting values, we get

angle 1 = 68°

angle 2 = 58°

angle 3 = 98°

angle 4 = 136°

so by comparison, we get::

angle 4 is the greatest angle

so your answer is angle 4 that is 2x°

hope this helps

@jtg07

@RamSiyaKeLavKushUnit

Answer 2

Answer:

We know that the sum of the angles of a quadrilateral = 360°

So

x + (x-10°)+(x+30°) + 2x = 360°

5x = 360° - 20°

5x = 340°

x = 68°

So the angles are 68°, 58° , 98° , 136°

So the required greatest angle is = 2x = 136°

Please Mark it Brainlist

FOLLOW ME

THANK YOU