Question

Find the value of x in the given figure .​

Answer 1

Answer:

x = 60

Step-by-step explanation:

Sum of a quadrilateral = 360

      50 + 130 + 120 + x = 360

                        300 + x = 360

                                   x = 360 - 300

                                    x = 60

There for the value of x is 60

Answer 2

$\sf\large{\bold{\underline{Answer:}}}$

⟹ x = 60°

$\sf\large{\bold{\underline{Given:}}}$

• Three angles of a quadrilateral i.e. 130°, 120° and 50°

$\sf\large{\bold{\underline{To \: Find:}}}$

• The measure of the forth angle i.e. x

$\sf\large{\bold{\underline{Solution:}}}$

The sum of all angles of a quadrilateral is 360°

⟹ $\sf 120{}^{\circ} + 130{}^{\circ} + 50{}^{\circ} + x = 360$

⟹ $\sf 300{}^{\circ} + x = 360$

⟹ $\sf {x = 360 - 300{}^{\circ}}$

⟹ $\sf\boxed{ x = 60{}^{\circ}}$

The value of x is 60°