Question
Teo complementary angles have measures (4x) ° and (2x)° what is the value of x and the two angl s measures) (2 points) x = (4x) ° = and (2x) ° =
Answers
GPT 3.5
Since the two angles are complementary, their measures add up to 90 degrees.
So, (4x)° + (2x)° = 90°
Combining like terms, we have 6x° = 90°
To isolate x, we divide both sides of the equation by 6:
6x°/6 = 90°/6
x° = 15°
Therefore, x is equal to 15 degrees.
Now we can substitute this value of x back into the expressions for the angle measures:
(4x)° = (4 * 15)° = 60°
(2x)° = (2 * 15)° = 30°
So, the value of x is 15 and the angle measures are 60° and 30°.
So, (4x)° + (2x)° = 90°
Combining like terms, we have 6x° = 90°
To isolate x, we divide both sides of the equation by 6:
6x°/6 = 90°/6
x° = 15°
Therefore, x is equal to 15 degrees.
Now we can substitute this value of x back into the expressions for the angle measures:
(4x)° = (4 * 15)° = 60°
(2x)° = (2 * 15)° = 30°
So, the value of x is 15 and the angle measures are 60° and 30°.