Question

find the angles measure of x in the following figures​

Answer 1

Answer:

Answer is x=110 degree , as we know that sum of all angle of Pentagon can be gained by the formula S=(n-2)*180degree , n is for sides and S stands for sum so S=(5-2)*180=3*180=540degree. so we get 50+110+(180-x)+2x+90=540, 180-x comes from linear pair, we get 160+180-x+2x+90=540,now we get, 270+160+x=540, now , 430+x=540, x=540-430 here we go with answer, x=110 degree