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Answer :
Final answer:
The sum of the measures of the complementary angle, supplementary angle, and vertical angle for angle A is 237°.
Explanation:
To find the sum of the measures of the complementary angle, supplementary angle, and vertical angle for angle A, we need to understand the properties of these types of angles.
The complementary angle to angle A is the angle that, when added to angle A, gives a sum of 90°. Therefore, the measure of the complementary angle would be 90° - 33° = 57°.
The supplementary angle to angle A is the angle that, when added to angle A, gives a sum of 180°. Therefore, the measure of the supplementary angle would be 180° - 33° = 147°.
The vertical angle to angle A is the angle that shares the same vertex as angle A. In this case, if angle A is 33°, the measure of the vertical angle would also be 33°.
To find the sum of these three angles, we add their measures: 57° + 147° + 33° = 237°.
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