Question
Two complementary angles have measures (4x)° and (2x)°. What is the value of x and the two angle measures?(2 points)
x= _, (4x)°= _°, and (2x)°= _°
x= _, (4x)°= _°, and (2x)°= _°
Answers
GPT 3.5
Since the two angles are complementary, their sum is equal to 90°.
We can set up an equation to find the value of x:
(4x) + (2x) = 90°
6x = 90°
Dividing both sides by 6:
x = 15°
Now that we know the value of x, we can find the measures of the angles:
(4x)° = (4 * 15°) = 60°
(2x)° = (2 * 15°) = 30°
So, x = 15°, (4x)° = 60°, and (2x)° = 30°.
We can set up an equation to find the value of x:
(4x) + (2x) = 90°
6x = 90°
Dividing both sides by 6:
x = 15°
Now that we know the value of x, we can find the measures of the angles:
(4x)° = (4 * 15°) = 60°
(2x)° = (2 * 15°) = 30°
So, x = 15°, (4x)° = 60°, and (2x)° = 30°.