Question

angles of a quadrilateral are (4x)°,5(x+)°,(7-20)° and 6(x+3). Find:the value of x​

Answer 1

Answer:

sum of angles of quadrilateral=360°

A. T. Q

4x+5x+(7-20) +6(x+3) =360

9x+7-20+6x+18=360

15x+5=360

15x=360-5

15x=355

x=355/15

x=23+2/3

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Answer 2

The value of x is 16°

Step-by-step explanation:

Given :

Angles of a quadrilateral are :

(4x)°, 5(x + 2)°, (7x - 20)° and 6(x + 3)°

• We know that :

Sum of all angles of a quadrilateral = 360°

∴ (4x)°+ 5(x + 2)° + (7x - 20)° + 6(x + 3)° = 360°

⇒ 4 x+ 5x + 10° + 7x - 20° + 6x + 18° = 360°

⇒ 22x + 8° = 360°

⇒ 22x = 360° - 8°

⇒ 22x = 352°

⇒ x =  $\bf \dfrac{352}{22} = 16^\textdegree$

$\rule{300}{1.5}$

• More about quadrilateral :

The quadrilateral is a polygon with four edges and four vertices.

There are seven quadrilaterals.

Sum of interior angles: 360°

Perimeter: The sum of sides of the quadrilateral .