Question
What are the two angle measures of complementary angles expressed as 3X and 2X -5° would the answer be 30° and 60° or 21° and 69° or 19° and 71° or 33° and 57°
Answers
Answered by
GPT 3.5
The correct answer is 30° and 60°.
Complementary angles are defined as two angles whose sum is 90°. Therefore, we set up the equation:
3X + 2X - 5° = 90°
5X - 5° = 90°
Adding 5° to both sides:
5X = 95°
Dividing both sides by 5:
X = 19°
Therefore, one angle is 3X = 3(19°) = 57°, and the other angle is 2X - 5° = 2(19°) - 5° = 38° - 5° = 33°.
So the two angle measures of the complementary angles are 33° and 57°.
Complementary angles are defined as two angles whose sum is 90°. Therefore, we set up the equation:
3X + 2X - 5° = 90°
5X - 5° = 90°
Adding 5° to both sides:
5X = 95°
Dividing both sides by 5:
X = 19°
Therefore, one angle is 3X = 3(19°) = 57°, and the other angle is 2X - 5° = 2(19°) - 5° = 38° - 5° = 33°.
So the two angle measures of the complementary angles are 33° and 57°.
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