Question

The angles of quadrilateral are in ratio 3:5:7:9. Find the angles
​

Answer 1

$\huge\underbrace \color{aqua}Answer$

$\color{lime} \boxed{ \colorbox{black}{ \sf{The angles are 45°,75°,105° and 135°}}}$

$\huge\underbrace \color{violet}Explanation$

☆To find :-

• ▪︎The angles

☆Given :-

• ▪︎The angles are in the ratio of 3:5:7:9

☆Assuming:-

• ▪︎Let the angles be 3x ,5x,7x and 9x

☆Formula:-

• ▪︎Sum of all interior angles of quadrilateral is 360

☆Solution:-

$3x + 5x + 7x + 9x = 360 \\ = > 24x = 360 \\ = > x = \frac{360}{24} = 15$

▪︎Therefore, The angles are :

• 3x= (3×15)°= 45°

• 5x=(5×15)°= 75°

• 7x= (7×15)°=105°

• 9x=(9×15)°=135

☆Hence:-

• ▪︎The angles are 45° ,75° ,105° and 135°

hope it helps.... :)