Question

2) Quadrilateral is parallelogram.if <A=(4x+13) and <D=(5x-22) ºthen find the measure of <B and <C.​

Answer 1

Answer:

∠A + ∠D = 180° ( Adjacent angle)

4x + 13 + 5x - 22 = 180°

9x = 189°

x = 189°/9

x = 21°

∠A = 4x + 13 = 97°

∠D = 5x - 22 = 83°

So, ∠A = ∠ C = 97° (opposite angle equal)

∠D = ∠B = 83° (opposite angle equal)