Question

three angles of a quadrilateral are 100 degree, 90degree and 110degree what is the fourth angle
options are:
a) 30degree
b)120 degree
c)160degree
d)60 degree​

Answer 1

Answer:

Given :-

Three angles of Quardilateral are 100,90, and 110

To Find :-

Fourth angle

Solution :-

Let the fourth angle be x

Now,

As we know that sum of all angles in a Quadrilateral is 360⁰.

$\sf \: 100 + 90 + 110 + x = 360$

$\sf \: 190 + 110 + x = 360$

$\sf \: 300 + x = 360$

$\sf \: x = 360 - 300$

$\sf \: x = 60$

Hence :-

The fourth angle of Quardilateral is 60⁰.

$\huge \bf \bigodot \: Option \: D$

Answer 2

${\blue{\underline{\underline{\purple{\textsf{\textbf{Answer : }}}}}}}$

d) 60° is the fourth angle.

${\blue{\underline{\underline{\purple{\textsf{\textbf{Explanation : }}}}}}}$

Given that,

➡ Three angles of a quadrilateral are 100°, 90°, and 110°

• Here, three angles are given and the fourth angle is missing as we know that sum of all angles in a quadrilateral is 360°.So, here we'll form an equation to find the fourth angle.

Now,

➡ if we assume the fourth angle as x°

Equation formed :

${\pink{\pink{\sf { \longrightarrow 100° + 90° + 110° + x° = 360° }}}}$

Procedure :

$\sf \longrightarrow \: 100 + 90 + 110 + x = 360$

$\sf \longrightarrow \:300 + x = 360$

$\sf \longrightarrow \:x = 360 - 300$

$\sf \longrightarrow \:x = 60 \degree$

Therefore,

➡ The fourth angle is 60°.