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Marianna [84]
3 years ago
13

Line an is parallel to cd. LRB IS (3x-2) and RSC IS (2x-5) find RSC in degrees

Mathematics
1 answer:
spayn [35]3 years ago
6 0

∠LRB = 3x-2

∠RSC = 2x-5

∠LRB AND ∠RSC are alternate angles, so their sum is equal to 180°.

∴ (3x-2) + (2x-5) = 180

3x - 2 + 2x - 5 = 180

5x - 7 = 180

5x = 180 - 7

5x = 173

x = \frac{173}{5}

∴ ∠RSC = 2(\frac{173}{5}) -5

= 64.2°

∠CSK = ∠RSC ( vertically opposite angles are equal)

∴∠CSK =  64.2°

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