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

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प्रश्न

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

योग

उत्तर

Line LK || Line IJ And line IL is the transversal.

∠L + ∠I = 180°      ...(interior angle)

∴ ∠L + 108° = 180°

∴ ∠L = 180° – 108°

∴ ∠L = 72°

Line LK || Line IJ and line JK are transversal lines.

∠K + ∠J = 180°       ...(interior angle)

∴ 53° + ∠J = 180°

∴ ∠J = 180° – 53°

∴ J = 127°

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अध्याय 5: Quadrilaterals - Practice Set 5.4 [पृष्ठ ७१]

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बालभारती Geometry (Mathematics 2) [English] 9 Standard Maharashtra State Board
अध्याय 5 Quadrilaterals
Practice Set 5.4 | Q 1 | पृष्ठ ७१
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