Using the law of sines, it is found that the measure of angle x is given as follows:
x = 69.9º.
What is the law of sines?
Suppose we have a triangle in which:
- The length of the side opposite to angle A is a.
- The length of the side opposite to angle B is b.
- The length of the side opposite to angle C is c.
The lengths and the sine of the angles are related as follows:
sin(A)/A = sin(B)/B = sin(C)/C
Considering the given triangle, the following relation can be established:
sin(x)/11 = sin(28º)/x
Hence, applying cross multiplication:
sin(x) = 2sin(28º)
sin(x) = 0.938943126
x = arcsin(0.938943126)
x = 69.9º.
More can be learned about the law of sines at https://brainly.com/question/25535771
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