Question

If three angle of a quadrilateral are 50⁰,70⁰90⁰ then its fourth angle will be​

Answer 1

$\huge{\purple{❥}\pink{Á}\orange{ɳ}\blue{ʂ}\red{ɰ}\green{ᶓ}\purple{ɾ}}$

↪️$\large\textsf{\textcolor{green}{Let the fourth angle be x}}$

$\large\boxed{\textsf{\textcolor{green}{sum of all angles of a quadrilateral is 360°}}}$

$\large\therefore\textsf{\textcolor{green}{50°+70°+90°+x = 360°}}$

$\large\therefore\textsf{\textcolor{green}{210°+x = 360°}}$

$\large\therefore\boxed{\textsf{\textcolor{red}{x = 150°}}}$

Answer 2

Answer:

Given:-

• Three angles of a quadrilateral are 50°, 70°, 90°

To Find:-

• Fourth angle of quadrilateral?

Solution:-

$\Longrightarrow \dag$As we know the sum of all angle of a quadrilateral is 360°.

Let the fourth angle be 'x'

$50° + 70° + 90° + x = 360°$

Now, according to the question:-

$\longrightarrow50° + 70° + 90° + x = 360° \\ \\\longrightarrow 210° + x = 360° \\ \\\longrightarrow x = 360°- 210° \\ \\ \longrightarrow \dag { \boxed{ \underline{ \rm{ \blue{x = 150°}}}}}$

Hence, the measure of fourth angle is 150°.