Question

LMNO is a parallelogram. Diagonal LN and MO intersect at A. If l(LN) = 20cm and l(MO) = 21cm. Find l(LA) and l(MA)​

Answer 1

$∠LAM+∠NAM \: \\ =180° ( Linear \: pair)$

$∠NAM = 180°- 40°$

$∠NAM = 40 °$

$∠OLN = \: ∠MNL \\ ( Alternate Angle)$

$∠NAM + ∠AMN+ ∠ANM = 180°$

$140° + ∠AMN+20°=180°$

$∠AMN = 180° - 160°$

$∠AMN = 20°$

$∠OMN = 20°$

Answer 2

Answer:

Therefore 2/3 of a right angle is 60° and it's complement will be: (3/3[whole]-3/3)*90°. = 1/3*90.