Question
What are the two angle measures of complementary angles expressed as 3x and (2x - 5) °? (1 point)
O 21° and 69°
O 19° and 71°
O 33° and 57°
O 30° and 60°
O 21° and 69°
O 19° and 71°
O 33° and 57°
O 30° and 60°
Answers
GPT 3.5
The two angle measures of complementary angles can be expressed as 3x and (2x - 5) °.
Since complementary angles sum up to 90°, we can set up the equation:
3x + (2x - 5) = 90
Simplifying this equation, we get:
5x - 5 = 90
Adding 5 to both sides, we have:
5x = 95
Dividing both sides by 5, we get:
x = 19
Now we can substitute this value back into the equation to find the angle measures:
Angle 1: 3x = 3(19) = 57°
Angle 2: 2x - 5 = 2(19) - 5 = 38 - 5 = 33°
Therefore, the two angle measures of complementary angles, expressed as 3x and (2x - 5) °, are 57° and 33°.
So, the answer is: O 57° and 33°.
Since complementary angles sum up to 90°, we can set up the equation:
3x + (2x - 5) = 90
Simplifying this equation, we get:
5x - 5 = 90
Adding 5 to both sides, we have:
5x = 95
Dividing both sides by 5, we get:
x = 19
Now we can substitute this value back into the equation to find the angle measures:
Angle 1: 3x = 3(19) = 57°
Angle 2: 2x - 5 = 2(19) - 5 = 38 - 5 = 33°
Therefore, the two angle measures of complementary angles, expressed as 3x and (2x - 5) °, are 57° and 33°.
So, the answer is: O 57° and 33°.