Question

b)Each angle of a quadrilateral is 2x+8°Find :
(i)the value of x
(ii) each angle of the quadrilateral
(ii) give a special name of the quadrilateral taker​

Answer 1

each angle of the quadrilateral.

Answer 2

Question :

Each angle of a quadrilateral is 2x+8°Find :

(i)the value of x

(ii) each angle of the quadrilateral

(ii) give a special name of the quadrilateral taker

Answer :

$\sf\pink{Given}$

• Each angle of the quadrilateral is 2x + 8°

$\sf\pink{To\:find}$

• value of x = ?

• Each angle of the quadrilateral = ?

• Special name = ?

Rule :

Sum of all angles of a quadrilateral is 360°

Explanation :

$\longrightarrow\bf{2x + 8 + 2x + 8 + 2x + 8 + 2x + 8 = 360° }$

$\longrightarrow\bf{ 4\times (2x + 8) = 360° }$

$\longrightarrow\bf{ 8x + 32 = 360° }$

$\longrightarrow\bf{ 8x = 360° - 32}$

$\longrightarrow\bf{ 8x = 328 }$

$\longrightarrow\bf{ x = \dfrac{328}{8} }$

$\longrightarrow\bf\pink{ x = 41 }$

• Therefore value of x is 41°

Value of each angle = 2x + 8

$\longrightarrow\bf{2\times 41 + 8}$

$\longrightarrow\bf{ 82 + 8}$

$\longrightarrow\bf\pink{90°}$

• Therefore value of each angle is 90°