Question

In □ ABCD, ∠A is supplementary to both its consecutive angles, ∠B and ∠D. Illustrate the figure and find the

measurement of each angle if m∠A =(3x +5)˚ and m∠B = (2x)˚ so that □ ABCD is a parallelogram.​

Answer 1

here let L A +L B= 180°

3x+5+2x= 180

5x+5= 180

x+1= 36

x= 35

L A= 3x+5= 3×35+5= 105+5= 110

L B=LD= 2x= 2×35= 70

therefore LC= 360-(110+70+70) = 360-250= 110