Two complementary angles have measures (4x)° and (2x)° . What is the value of x and the two angle measures?
If x = 15, then:
(4x)° = (4 * 15)° = 60°
(2x)° = (2 * 15)° = 30°
So, for x = 15, (4x)° = 60° and (2x)° = 30°.
Complementary angles add up to 90 degrees. So, we have the equation:
(4x)° + (2x)° = 90°
6x = 90
Dividing both sides of the equation by 6, we get:
x = 15
Substituting the value of x back into the expression for the angle measures, we find:
(4x)° = (4 * 15)° = 60°
(2x)° = (2 * 15)° = 30°
So, the value of x is 15, and the two angle measures are 30° and 60°.
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