Points A, D, C, B and E are concyclic. If ∠ AEC = 50º and ∠ ABD = 30º, then what is the measure (in degrees) of ∠ CBD?

Points A, D, C, B and E are concyclic. If ∠ AEC = 50&ordm…

Points A, D, C, B and E are concyclic. If $\angle$ AEC = 50º and $\angle$ ABD = 30º, then what is the measure (in degrees) of $\angle$ CBD?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 20.

$\angle$ AEC = $\angle$ ABC = 50°

$\angle$ ABC = $\angle$ ABD + $\angle$ DBC

$\angle$ DBC = 50 - 30 = 20°