Question

The angle of a quadrilateral are 50degrees 100 degrees 60 degrees .what is the fourth angle

Answer 1

Answer:

Given :-

• The angles of a quadrilateral are 50°, 100° and 60°.

To Find :-

• What is the fourth angle of a quadrilateral.

Solution :-

Let, the fourth angle be x

We know that,

✪ Sum of all quadrilateral = 360° ✪

According to the question by using the formula we get,

⇒ 50° + 100° + 60° + x = 360°

⇒ 150° + 60° + x = 360°

⇒ 210° + x = 360°

⇒ x = 360° - 210°

➠ x = 150°

Hence, the required fourth angle are,

✧ Fourth angle = x = 150°

∴ The fourth angle of a quadrilateral is 150° .

$\rule{300}{1.5}$

$\boxed{\bold{\large{Verification :-}}}$

We know that,

★ Sum of all quadrilateral = 360° ★

↦ 50° + 100° + 60° + x = 360°

Put x = 150° we get,

↦ 50° + 100° + 60° + 150° = 360°

↦ 150° + 60° + 150° = 360°

↦ 210° + 150° = 360°

↦ 360° = 360°

➦ LHS = RHS

➲ Hence, Verified ✔

Answer 2

Given :

• Three angles of Quadrilateral are 50° , 100° and 60° .

To Find :

• Fourth angle of Quadrilatetal .

Solution :

$\longmapsto\tt{Let\:fourth\:angle\:be=x}$

As we know that Sum of all angles of a Quadrilateral is 360° . So ,

$\longmapsto\tt{50\degree+100\degree+60\degree+x=360\degree}$

$\longmapsto\tt{210\degree+x=360\degree}$

$\longmapsto\tt{x=360\degree-210\degree}$

$\longmapsto\tt\bf{x=150\degree}$

So , The Fourth angle of Quadrilateral is 150° .

_______________________

VERIFICATION :

$\longmapsto\tt{50\degree+100\degree+60\degree+x=360\degree}$

$\longmapsto\tt{50\degree+100\degree+60\degree+150\degree=360\degree}$

$\longmapsto\tt\bf{360\degree=360\degree}$

HENCE VERIFIED