Question

In this figure, mCA=148∘, and mDB=42.

What is m∠CEA?

m∠CEA =

Answer 1

∠ CEA = 95°

Explanation:

the chord- chord angle CEA is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

∠ CEA =
`(1)/(2)` (CA + DB) =
`(1)/(2)` (148 + 42)° =
`(1)/(2)` × 190° = 95°