Question

find the angle measure x in the following figure:
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Answer 1

Step-by-step explanation:

$30°+x+x+110°+120°=540°$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:[∠ \: sum \: prop. \: of \: pentagon]$

$\implies 260°+2x = 540°$

$\implies 2x = 540°-260°$

$\implies 2x = 280°$

$\implies x = \frac{280°}{2}.$

$\implies x = 140°$

Answer 2

Answer:

HEY MATE!!! HOPE THIS HELPS YOU.

Step-by-step explanation:

30° + x° + x° + 110° + 120° = 360° (Sum of all angles of a quadrilateral is 360°)

                        260° + 2x = 360°

                                   2x  = 360° - 260°

                                    2x = 100°

                                      x = $\frac{100}{2}$

                                      x = 50°

So angle measure of x is 50°.