Question

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

I. 36°, 60°, 108°, 156°

II. 48°, 60°, 120°, 132°

III. 52°, 60°, 122°, 126°

IV. 60°, 60°, 120°, 120°

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Answer 1

Step-by-step explanation:

Let these angles be 4x°,5x°,10x°,11x°

By condition

4x°+5x°+10x°+11x° = 360° (Angle sum property)

4x+5x+10x+11x = 360

30x = 360

x = 360/30

x = 12

The angles are

(4×12)°,(5×12)°,(10×12)°,(11×12)°

= 48°,60°,120°,132°

Option II is correct

Answer 2

Answer:

Correct answer is II

Step-by-step explanation:

Let the 4 angles be 4x,5x,10x and 11x

Since Sum of all the angles of quadrilateral is equal to 360°

So,

4x+5x+10x+11x=360°

30x=360°

x=360°/30

x=12°

4x=4×12°=48°

5x=5×12°=60°

10x=10×12°=120°

11x=11×12°=132°

Hope it helps

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