Respuesta :

Answer: Isosceles

Step-by-step explanation:

Given: AB || DE ,  BC is a transversal

∠ABC ≅ ∠BCE by Alternate Interior Angles Theorem --> ∠BCE = 80°

∠DCA, ∠ACB, & ∠BCA are supplementary  --> ∠ACB = 50°

By the Triangle Sum Theorem, ∠A+∠B+∠C  = 180° --> ∠CAB = 50°

Triangle is isosceles because ∠A ≅ ∠C