Quadrilateral ABCD is inscribed in circle O.

What is m∠A ?

The measure of angle A is 42°

Explanation:

Given that ABCD is a quadrilateral.

The measures of angles are , and

We need to determine the measure of angle A

The value of x:

Since, we know that the opposite angles of a quadrilateral add up to 180°

Thus, we have,

Substituting the values, we get,

Thus, the value of x is 37

Measure of :

The measure of angle A can be determined by substituting in , we get,

Thus, the measure of angle A is 42°

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