Answer :
Complementary = 90 degrees
Measure 1 + measure 2 = 90
62 + 2x = 90
2x = 28, x = 14
Solution: x = 14
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.
