Question

The angle of a quadrilateral are in the ratio 2:3:4:6 find the measure of these angle.

Answer 1

${\huge{\bold</marquee>{hey \:there}}}</marquee>$
✔️✔️✔️✔️✔️✔️✔️✔️

>>>>>>>>>>>>>>>>>>>>

Solution:-

Given :-

Angles of a quad. are in the ratio 2:3:4:6

Let the common ratio be x

so, now

first angle => 2x

second angle=>3x

third angle. => 4x

fourth angle => 6x

As we know that,

Sum of all the angles of a quadrilateral = 360°

2x+3x+4x+6x. =. 360°

15x. =. 360°

x. =. 24°

so ,

we got the value of x = 24°

Now,

we can find the measures of other angles

first angle => 2x =2×24°=48°

second angle=>3x= 3× 24° =72°

third angle. => 4x =4 × 24° = 96°

fourth angle => 6x= 6 × 24° = 144°

✔️_____________________________✔️

Hope It helps u.....

Thanks.
..

Answer 2

The angle are in the ratio 2:3:4:6.....(given)

Therefore, let the ratio be 2x,3x,4x and 6x.

Sum of all the angles of a quadrilateral = 360°

Now, 2x+3x+4x +6x =360°

15x=360

x=360/15

x=24

Therefore, 2x=2*24= 48, 3x=3*15=45,4x=4*15=60 ,6x=6*15= 90

I hope this helps you .....