Two complementary angles have measures (2x) and (3x . What is the value of x and the two angle measures

x = __, (2x) = __ , and (3x) = __

3 answers

To find the value of x, we can set up an equation based on the fact that complementary angles add up to 90 degrees:

(2x) + (3x) = 90

Combining like terms, we get:

5x = 90

Dividing both sides by 5, we find:

x = 18

Now we can substitute this value of x back into the expressions for the angle measures:

(2x) = 2(18) = 36

(3x) = 3(18) = 54

So, the value of x is 18, the first angle measure is 36 degrees, and the second angle measure is 54 degrees.
answer
x = 18 degrees
(2x) = 36 degrees
(3x) = 54 degrees
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