Two complementary angles have measures (4x)° and (2x)° . What is the value of x and the two angle measures?(2 points)

Question

x=
, (4x)°=
°, and (2x)°

Answer 1

To find the value of x, we need to set up an equation using the fact that complementary angles add up to 90 degrees.

(4x)° + (2x)° = 90°

Combining like terms, we get:

6x° = 90°

Now we can solve for x by dividing both sides of the equation by 6:

x = 90°/6
x = 15°

So the value of x is 15 degrees.

To find the two angle measures, we can substitute this value back into the given expressions:

(4x)° = (4 * 15°) = 60°

(2x)° = (2 * 15°) = 30°

Therefore, the two angle measures are 60° and 30°, and the value of x is 15.