The measure of angle a is 64.8° when angles a and b are supplementary angles.
According to the question,
We have the following information:
Angles a and b are supplementary.
Angle b = 115.2°
We know that when two angles are supplementary then the sum of these angles is 180°.
So, the sum of angle a and angle b is 180°.
Now, we have the following expression:
Angle a + angle b = 180
Angle a + 115.2 = 180
Subtracting 115.2 from both sides of the expression:
Angle a = 180-115.2
Angle a = 64.8°
Hence, the correct option is C.
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