Answer:
The measure of A is 93
Step-by-step explanation:
Here, we want to get the measure of angle A
we can start by getting the measure of angle C
Mathematically, we can use sine rule
It states that the ratio of the length of a side of a triangle and the sine of the angle it faces is constant
So to get C, we have the following;
9/sin 38 = 11/sin C
sin C = 11sin 38/9
sin C = 0.7525
C = sin^-1(0.7525)
C = 48.80
This is approximately 49
To get A,
we know that if we added the measure of interior angles of a triangle, the addition is 180 degrees
Thus, we have it that:
38 + 49 + A = 180
A = 180-38-49
A = 93
