Question

Find the value of the unknown angles:

Answer 1

$\color{purple} \mathcal{ \colorbox{orange}{\colorbox{white}{SOLUTION}}}$

$\large{\sf{Its~a~reflex~angle~i.e~360°}}$

$\large{\sf{Its~all~angles~sum~is~360°}}$

$\large{\sf{4x~+~3x~+~x~+~x~=~360°}}$

$\large{\sf{9x~=~360°}}$

$\large{\sf{x~=~\frac{360}{9} }}$

$\large\green{\sf{x~=~40°}}$

${\sf\bold{.°.~All~angles~are~160°~,~120°,~40°~,~40°}}$

_____________________________

$\red{\sf\frak{-~shashi1979bala}}$

Answer 2

$\sf\huge\bold{Answer:}$

Given :

∠POS= 4x°

∠POQ=3x°

∠QOR=x°

∠ROS=x°

To find :

Value of all the angles.

Solution :

All the given angles combine to form a complete angle i.e. sum of angles is 360°

:⟶ ∠POS+∠POQ+∠QOR+∠ROS=360°

:⟶ 4x° + 3x° + x° + x° = 360°

:⟶9x° = 360°

:⟶x° = 360°/9

:⟶ x° = 40°

$\tt\red{ value \: of \: x = 40} \degree$

Value of

∠POS= 4x° = 4×40° = 160°

∠POQ=3x° = 3×40° = 120°

∠QOR=x° = 40°

∠ROS=x° = 40°