36.9k views
4 votes
Does anyone know what I am missing to get the final mark? Any ideas would be much appreciated :)

Does anyone know what I am missing to get the final mark? Any ideas would be much-example-1
User Dan Thomas
by
5.0k points

1 Answer

3 votes

Answer: Isosceles

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

User Rohit Chatterjee
by
4.9k points