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In IJKL, side IJ || side KL, ∠I = 108° and ∠K = 53°, then find the measures of ∠J and ∠L.

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i. ∠I = 108° [Given] 

side IJ || side KL and side IL is their transveral. [Given] 

∴ ∠I + ∠L = 180° [Interior angles]

∴ 108° + ∠L = 180° 

∴ ∠L = 180° – 108° = 72°

ii. ∠K = 53° [Given] 

side IJ || side KL and side JK is their transveral. [Given] 

∴ ∠J + ∠K = 180° [Interior angles] 

∴ ∠J + 53° = 180° 

∴ ∠J= 180°- 53° = 127° 

∴ ∠L = 72°, ∠J = 127°

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