Question

Parallelogram L M N O is shown. Angle M is (3 x minus 55) degrees, angle N is (5 y) degrees, and angle O is (2 x) degrees. In parallelogram LMNO, what are the values of x and y?

Answer 1

55 and 14

Explanation:

i just took the test

Answer 2

x=55,y=14

Explanation:

<M = <{opposite angles of a parallelogram are congruent and equal}

Hence 3x-55 = 2x=>3x-2x= 55 =>x=55

Simarly;

M+N=180°{ sum of angles in a parallelogram is 180°}

N= 180°-M=>N=180-(3x-55)=180-(3x55-55)= 180- 110=70°

N=70°=>5y=70=>y=70/5=14

therefore x=55,y=14