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 can set up an equation using the fact that the two angles are complementary, meaning they add up to 90 degrees.

(4x) + (2x) = 90

Combining like terms:

6x = 90

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

x = 15

To find the angle measures, we can substitute x=15 into the expressions for the angle measures:

(4x)° = (4*15)° = 60°

(2x)° = (2*15)° = 30°

So x = 15, (4x)° = 60°, and (2x)° = 30°.