Final answer:
The measure of the third angle in the triangle is 81°.
Step-by-step explanation:
In a triangle, the sum of the measures of all three angles is always 180°. So, to find the measure of the third angle, we need to subtract the sum of the measures of the given two angles from 180°.
Third angle = 180° - (45° + 54°) = 180° - 99° = 81°
Therefore, the measure of the third angle is 81°, option (A).
Learn more about Triangle angles