Question

find ( mangle a ).( mangle a = square^circ )submit

Explanation:

Step1: Find arc BC measure

The total circle is $360^\circ$. Subtract known arcs:
$m\overset{\frown}{BC} = 360^\circ - 94^\circ - 82^\circ - 86^\circ = 98^\circ$

Step2: Calculate $\angle A$ using inscribed angle

$\angle A$ is half the sum of arcs $BC$ and $CD$:
$m\angle A = \frac{1}{2}(m\overset{\frown}{BC} + m\overset{\frown}{CD})$
Substitute values: $m\angle A = \frac{1}{2}(98^\circ + 86^\circ)$

Step3: Compute final angle value

Simplify the expression:
$m\angle A = \frac{1}{2}(184^\circ) = 92^\circ$

Answer:

$92$