Q:

Need some help ASAP...can I get some help for my finals

Accepted Solution

A:
Answer:m∠A = 42°Step-by-step explanation:* Lets revise some facts in the circle- If the vertex of an angle on the circle and the two sides of the  angle are chords in the circle, then this angle is called  an inscribed angle- Each inscribed angle subtended by the opposite arc, the arc name  is the starting point and the ending point of the angle# Ex: ∠CAB is subtended by arc CB- There is a relation between the inscribed angle and its   subtended arc, the measure of the inscribed angle equals half   the measure of its subtended arc* Now lets solve the problem- ∠CAB is an inscribed angle subtended by arc CB∴ m∠CAB = (1/2) measure of arc CB∵ The measure of arc CB = 84°∴ The measure of ∠A = 1/2 × 84° = 42°* m∠A = 42°