Question

If angles of a quadrilateral are x, x+3, X+8 and x+9 the greatest angle is​

Answer 1

Solution :

Here, four angles of a quadrilateral are given as x°, (x + 3)°, (x + 8)° and (x + 9)°. We've to find the value of x as well as all angles of a quadrilateral.

Let

• ∠1 = x°
• ∠2 = (x + 3)°
• ∠3 = (x + 8)°
• ∠4 = (x + 9)°

As we know that :

Sum of all angles of a quadrilateral is 360°.

i.e. ∠1 + ∠2 + ∠3 + ∠4 = 360°

Now, put the values in the formula and solve.

➟ x + (x + 3) + (x + 8) + (x + 9) = 360

➟ x + x + 3 + x + 8 + x + 9 = 360

➟ x + x + x + x + 3 + 8 + 9 = 360

➟ 4x + 11 + 9 = 360

➟ 4x + 20 = 360

➟ 4x = 360 - 20

➟ 4x = 340

➟ x = 340/4

➟ x = 85°

Now, put the value of x in the angles.

• ∠1 = x = 85°
• ∠2 = x + 3 = 88°
• ∠3 = x + 8 = 93°
• ∠4 = x + 9 = 94°

∴ Largest angle of the quadrilateral is 94°.

Answer 2

Answer:

We known that,

Step-by-step explanation:

In a quadrilateral the sum of the angles is 360°

Hence,

x+x+3 +x+8+x+9= 360

4x+20= 360

4x= 340

x= 340/4

x=85.

Value of x is 85.