Question

Find the measure of x in the following figure.

Answer 1

Addition of all angles of quadrilateral is 360 so
Here it comes
$= (x + 30) + x + 125 + 125 \\ = 250 + 30 + 2x \\ = 280 + 2x \\ = 280 = 2x \\ x = 280 \div 2 \\ x = 140$

Answer 2

This is the figure of kite then we can solve by following steps
C=25..... Opposite sides
X+30+X+25+25=360... The measures of all sides
2x+30+50=360
2x+80=360
2x=360-80
2x=280
X=280/2
X=140