High School

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------------------------------------------------ 1 and 2 are complementary angles. The measure of angle 1 is 62 degrees. The measure of angle 2 is [tex]2x[/tex] degrees. Find the value of [tex]x[/tex].

The value of [tex]x[/tex] is?

Answer :

Complementary = 90 degrees
Measure 1 + measure 2 = 90
62 + 2x = 90
2x = 28, x = 14

Solution: x = 14

Final answer:

To find the value of x for the complementary angles, set up the equation 62 + 2x = 90 and solve for x, yielding x = 14 degrees.

Explanation:

The question deals with the concept of complementary angles. Complementary angles are two angles whose measures add up to 90 degrees. The measure of angle 1 is given as 62 degrees. Since angle 2 is complementary to angle 1, their measures must sum to 90 degrees.

The measure of angle 2 is given as 2x degrees. Therefore, by setting up an equation:

62 degrees + 2x degrees = 90 degrees,

we can solve for the value of x.

Subtracting 62 degrees from both sides gives us:

2x degrees = 28 degrees.

Dividing both sides by 2 yields:

x = 14 degrees.

So, the value of x is 14.

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