Question

The angle of quadrilateral are respectively 120°,73°,80° find the fourth angle​

Answer 1

Answer:

The Fourth angle is 87°.

Step-by-step explanation:

Given :-

Angles of the Quadrilateral = 120°,73°,80°

To Find :-

The Forth angle of Quadrilateral

Solution :-

Consider the Fourth angle as x

According to the Angle sum property of quadrilateral the sum of all the angles in a quadrilateral is 360°.

★ $\boxed{\sf{120+73+80+x=360}}$

$\rm{\longrightarrow} \: {120}^{\circ} + {73}^{\circ} +{80}^{\circ} +x = {360}^{\circ} \\ \rm{\longrightarrow} \: {120}^{\circ} + {153}^{\circ} + x= {360}^{\circ} \\ \rm{\longrightarrow} \: {273}^{\circ} + x = {360}^{\circ} \\ \rm{\longrightarrow} \:x = {360}^{\circ} - {273}^{\circ} \\ \rm{\longrightarrow} \:x = {87}^{\circ}$

Fourth angle = 87°

$\therefore$ The Fourth angle is 87°.

Answer 2

Answer:

Suppose the fourth angle = x.

The sum of all the angles of a quadrilateral = 360°.

= 120° + 73° + 80° + x = 360°.

= 120° + 153° + x = 360°.

= 273° + x = 360° .

x = 360° - 273°.

x = 87°

x = 87°.