Question

8) Find the measure of the faur angles of a
quadrilateral if they
are in the ratio 3:5:7:9
​

Answer 1

Step-by-step explanation:

the measure of the four angles of quadrilateral in the ratio is 24

Answer 2

★ Qᴜᴇsᴛɪᴏɴ

Find the measure of the four angles of a quadrilateral if they are in the ratio 3 : 5 : 7 : 9

★ Sᴏʟᴜᴛɪᴏɴ

☆ Let the angles of in the ratio 3 : 5 : 7 : 9 be 3x , 5x , 7x and 9x respectively.

Wᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ :-

• Sum of all angles of a quadrilateral is equal to 360° .

Therefore,

$\purple{\sf\implies{3x+5x+7x+9x=360°}}$

$\purple{\sf\implies{24x=360°}}$

$\purple{\sf\implies{x=\cancel\frac{360°}{24}}}$

$\boxed{\boxed{\purple{\rm{x=15°}}}}$

$\red{\sf{Now, angles~of~ the~ quadrilateral~are:-}}$

$\blue{\sf{➝3x=3(15°)=45°}}$

$\orange{\sf{➝5x=5(15°)=75°}}$

$\green{\sf{➝7x=7(15°)=105°}}$

$\pink{\sf{➝9x=9(15°)=135°}}$