Question

iii. 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

Answer:

option 1 . 20

Step-by-step explanation

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Answer 2

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

$∠NAM = 180°- 40°$

$∠NAM = 40 °$

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

$∠NAM + ∠AMN+ ∠ANM = 180°$

$140° + ∠AMN+20°=180°$

$∠AMN = 180° - 160°$

$∠AMN = 20°$

$∠OMN = 20°$