Question

Find the angle x in the given figure

Please do this fast... ..... .... ☺️.

...............
​

Answer 1

$\huge \mathcal \green{Solution}$

$To \: find \: the \: \angle \: x \:$

$First \: we \: have \: t o \: fin \: the \: sum \: of \: interior \: angle$

Sum of interior angle of pentagon =

$(x - 2) \times 180 \degree$

$\implies \: (5 - 2) \times 180 \degree$

$\implies \: 3 \times 180 \degree$

$\: = 540 \degree$

As it is mentioned that the all the sides are equal

$\blue{\therefore \: x + x + x + x + x = 54 \degree}$

$\blue{\implies \: 5x = 540}$

$\red{cross \: multiplied}$

$\blue{x = \frac {\cancel{540}} {\cancel{5} }}$

$\large \pink{\therefore \: x \: = \: 108 \degree}$