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

1 answer

Complementary angles are two angles whose measures add up to 90 degrees.

Given that the measures of the two angles are (2x) and (3x), we can set up the following equation:

(2x) + (3x) = 90

Combining like terms, we get:

5x = 90

Now, we can solve for x by dividing both sides of the equation by 5:

x = 90 / 5
x = 18

Substituting this value of x back into the expressions for the two angle measures, we get:

2x = 2 * 18 = 36
3x = 3 * 18 = 54

Therefore, the value of x is 18 and the two angle measures are 36 degrees and 54 degrees.
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