Question

The angles of a quadrilateral are in the ratio 4: 5: 10: 11. The angles are:


36°, 60°, 108°, 156°

48°, 60°, 120°, 132°

52°, 60°, 122°, 126°

60°, 60°, 120°, 120°

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Answer 1

Answer:

Refer to the Attachment ☝

$\: \: \:$

Answer 2

Solution :-

• Let the angles in the ratio be 4x , 5x , 10x and 11x .

We know that the sum of angles of quadrilateral is 360°

Therefore,

$\rm{4x+5x+10x+11x=360°}$

$\rm{30x=360°}$

$\rm{x=\cancel\frac{360°}{30}}$

$\rm{x=12°}$

Now ;

The Numbers are :-

$\red{\sf{4x=4(12°)=48°}}$

$\red{\sf{5x=5(12°)=60°}}$

$\red{\sf{10x=10(12°)=120°}}$

$\red{\sf{11x=11(12°)=132°}}$