Question

If the angles of a quadrilateral are in ratio 3:4:5:6 , then find the measure of largest angle
1)30°
2)60°
3)50°
4)40°​

Answer 1

Answer:

let the angles be x

so

3x+4x+5x+6x= 360 ( cause it's quadrilateral)

18x=360

x=20

largest angle = 6x=120°

but according to options it should be 3x maybe they asked for shortest or smallest angle that is 60°

Answer 2

Question :

If the angles of a quadrilateral are in ratio 3:4:5:6 , then find the measure of largest angle .

Answer :

$\sf\pink{Given:}$

• Ratio of all angles of a quadrilateral is 3:4:5:6 .

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

• Measure of the large angle ?

Explanation :

• Let the first angle be 3x .

• Let the second angle be 4x.

• Let the third angle be 5x .

• Let the fourth angle be 6x.

Rule :

Sum of all angles of a quadrilateral is 360° .

Equation Formed :

$\\ \longrightarrow\sf{ 3x + 4x + 5x + 6x = 360}$

$\\ \longrightarrow\sf{ 7x + 11x = 360}$

$\\ \longrightarrow\sf{ 18x = 360}$

$\\ \longrightarrow\sf{ x = \dfrac{360}{18}}$

$\\ \longrightarrow\sf{ x = 20}$

• The large angle is 6x

$\\ \longrightarrow\sf{ 6\times20}$

$\\ \longrightarrow\sf{ 120}$

Therefore the large angle is 120°