The measure of angle 'a' is 64.8°.
What is supplementary angles?
Two angles are considered to be supplementary if their sums total 180 degrees.
For instance, angle 130° and angle 50° are supplementary angles since the sum of these two angles is 180°.
The given angle is a = 115.2°.
We have to find the angle 'b' supplementary to the angle 115.2°.
Since, sum of supplementary angles is 180 degrees.
⇒ a + b = 180°
115.2 + b = 180°
Subtract 115.2° from both sides,
b = 180° = 115.2°
b = 64.8°
Hence, the measure of angle 'b' which is supplementary to angle 'a' is 64.8°.
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