Question

two angles of a quadrilateral measures 55degrees each . The third angle is 140 degree . what is the measure of the fourth angle?

Answer 1

$\mathbf{Given, \: Two \: \: angles \: \: are \: \: 55° \: and \: 55° and \: \: other \: one is \: 140} \:$



$\: \ \bold{ We \: know, \: sum \: \: of \: \: all \: \: angles \: \: of \: \: any \: \: quadrilateral \: \: is \: \: 360 \degree}$



Hence,


Sum of all angles = 360°

=> 55° + 55° + 140° + 4th angle = 360°


=> 250° + 4th angle = 360°



=> 4th Angie = 360° - 250°


$\text{ => 4th \: angle = 110°}$

Answer 2

sum of all angles of parallelogram=360degree
therefore
360-250=110degree