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nikitadnepr [17]
3 years ago
5

How to find the angle?​please help I'll give BRAINIEST** if there is two responses **

Mathematics
1 answer:
UkoKoshka [18]3 years ago
6 0

Answer:

m∠CDE = 37°

Step-by-step explanation:

Since, AB║CD and AC is a transversal line.

∠EAB ≅ ∠ECD [Alternate interior angles]

m∠EAB = m∠ECD = 25°

m∠CED + m∠AED = 180° [Linear pair of angles]

m∠CED + 62° = 180°

m∠CED = 180° - 62°

              = 118°

By triangle sum theorem In ΔCDE,

m∠CED + m∠CDE + m∠ECD = 180°

118° + m∠CDE + 25° = 180°

m∠CDE + 143° = 180°

m∠CDE = 37°

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