The measure of angle A is 42°
Step-by-step 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°