Question

If angles of a quadrilateral are x, x+3 , x+8 and x+9, then find the value of x

2 points

55°

65°

75°

85°

​

Answer 1

Answer:

So , here take angle = x

we kown that,

Sum of Angle of a quadrilateral = 360°

Now , ATQ.

x, x+3, x+8, x+9=360°

4x+20=360°

4x=360-20

x=340/4

x= 85°

so option d i.e.,85° is the correct answer

Thankyou

Answer 2

Answer:

the value of x = 85°

Step-by-step explanation:

Given angles of a quadrilateral are

                         x°, (x+3)°, (x+8)° and (x+9)

we know that sum of the interior angles of a quadrilateral = 360°  

   ⇒  x + x + 3 x + 8 + x + 9 = 360°

   ⇒ 4x + 20 =360°

   ⇒  4x  = 360° -20°

   ⇒  4x = 340°

   ⇒  x =85°