Question

an angle of a parallelogram measures 70 degrees. find the measures of the remaining three angles

Answer 1

as we all know that sum of all angles of a parallelogram is equal to 360 and opposite angles of a parallelogram are equal 140+x=360

x=220 and therefore the two angles are 110 each

Answer 2

We know that in a parallelogram opposite sides are equal. Let us consider angle A ,angle B ,angle C and angle D. Therefore, If 1 angle is 70° then it's opposite angle is also 70°. Angle A=angle C= 70° As angle C and B are corresponding angles With the use of corresponding property 70 + x=180. X=180-70. X=110. Angle B = 110° Again as angle C and D are opposite angles. therefore , Angle B= angle D = 110° Angle A = 70° Angle B = 110° Angle C = 70° Angle D = 110°