Question

The four angles of a quadrilateral are in ratio 3: 4: 6: 7.find the angles.

Answer 1

$\huge\mathcal{Answer \ :-}$

Let the angles be 3x, 4x, 6x and 7x.

Now,

As we know,

Sum of all angles = 360°

•°•

3x + 4x + 6x + 7x = 360°

20x = 360°

x = 18°

Putting this value

3x = 3 × 18° = 54°

4x = 4 × 18° = 72°

6x = 6 × 18° = 108°

7x = 7 × 18° = 126°

$\textbf\green{The \ angles \ are \ 54°, 72°, 108° \ and \ 126°.}$

$\huge\mathbb{Hope \ this \ helps.}$

Answer 2

Let the 3:4:6:7 be 3x ,4x,6x,7x
Then ,
3x + 4x + 6x + 7x= 360
20x = 360
x = 360 upon 20
x =18

3 × 18 = 54
4 × 18 = 72
6 × 18 = 108
7 × 18 = 126

✨hope it helps ☺☺✨