Question

the angles of a quadrilateral are in ratio 3 : 5 : 6 :4 . find all the angles​

Answer 1

Answer:

Step-by-step explanation:Let the all angles of quadrilateral be 3x,4x,5x,6x.

we know that,

sum of all angles of quadrilateral = 360

• 3x + 4x + 5x + 6x = 360

• 18x = 360

• x = 360÷18 = 20

$.^{.} .$ all angles of triangle will be 60,80,100,120  

60+120 = 80+100

180 = 180  

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OR THIS BOTH R SAME :

let the quad ABCD with angles in ratio 3:4:5:6

let the angles be 3x,4x,5x,6x

3x+4x+5x+6x=360° (angle sum property of quad.)

18x=360°

x=20

therefore,the angles are

3x=3·20=60°-A

4x=4·20=80°-B

5x=5·20=100°-C

6x=6·20=120°-D

now,A and D are supplementary

and,B and C are supplementary

∴AB║CD

Answer 2

Answer:

$</p><p>3x + 4x + 5x + 6x = 360⁰ ( angle sum property)\\18x = 360⁰\\X = 360 \div 18\\X = 20\\3x = 20 \times 3 = 60 \degree\\4x = 20 \times 4 = 80 \degree\\5x = 20 \times 5 = 100 \degree\\6x = 20 \times 6 = 120 \degree$