Question

The angles of a quadrilateral are in the ratio of 3:5:7:9.Find rhe measure of each these angles.

Answer 1

Answer:

$sum \: of \: angles \: of \: quadrilateral \: = 360$

$3x + 5x + 7x + 9x = 360$

$24x = 360$

$x = 360 \div 24$

$x = 15$

$measure \: of \: the \: angles \: are \: 45.75.105.135$

$3 \times 15 = 45$

$5 \times 15 = 75$

$7 \times 15 = 105$

$9 \times 15 = 135$

Answer 2

Answer:

let the four angles are,3x,5x,7x,9x

thus,

measures of all angles of quadrilateral is 360°.

so,

3x+5x+7x+9x=360°

24x=360°

thus,x=360/24

x=15

1)angle=3x=3×15 = 45°

2)angle=5x=5×15= 75°

3)angle=7x =7×15= 105°

4)angle=9x=9×15 = 135°

to check correctness add 4 angles if it is 360°then answer is right.