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
Given that the two angles are complementary, their measures add up to 90°.
So, (4x)° + (2x)° = 90°
Combining like terms, we get:
6x° = 90°
Dividing both sides by 6, we find:
x = 15°
Therefore, the value of x is 15°.
Substituting x = 15° into the expressions for the angle measures, we get:
(4x)° = (4*15)° = 60°
(2x)° = (2*15)° = 30°
Therefore, the two angle measures are 60° and 30°.
So, (4x)° + (2x)° = 90°
Combining like terms, we get:
6x° = 90°
Dividing both sides by 6, we find:
x = 15°
Therefore, the value of x is 15°.
Substituting x = 15° into the expressions for the angle measures, we get:
(4x)° = (4*15)° = 60°
(2x)° = (2*15)° = 30°
Therefore, the two angle measures are 60° and 30°.