angles of a quadrilateral are (4x)°,5(x+)°,(7-20)° and 6(x+3). Find:the value of x
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Answered by
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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Answered by
8
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 =
- 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 .
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