Question

angle of quadrilateral are 110 80 80 find the fourth angle​

Answer 1

Answer:

Given :-

• The angles of a quadrilateral are 110°, 80° and 80°.

To Find :-

• What is the fourth angles.

Solution :-

Let,

➲ The fourth angles of a quadrilateral be x.

As we know that :

✧ Sum of all angles of quadrilateral = 360° ✧

According to the question by using the formula we get,

↦ 110° + 80° + 80° + x = 360°

↦ 190° + 80° + x = 360°

↦ 270° + x = 60°

↦ x = 360° - 270°

➠ x = 90°

∴ The fourth angles of a quadrilateral is 90°.

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

VERIFICATION :-

⇒ 110° + 80° + 80° + x = 360°

By putting x = 90° we get,

⇒ 110° + 80° + 80° + 90° = 360°

⇒ 190° + 80° + 90° = 360°

⇒ 190° + 170° = 360°

➦ 360° = 360°

Hence, Verified.

Answer 2

110,80,80,x

∵ sum of all interior angles of a

quadrilateral = 360°

$\small\red{=> x + 110+ 80 + 80 = 360°}$

$\small\pink{=> x + 270° = 360°}$

$\small\orange{=> x = 360° — 270°}$

$\fbox\blue{ x = 90°}$