Answer :
Final answer:
The value of x, in the given equation 2 + 3x degrees + 62 degrees = 90 degrees, is approximately 8.67 after solving the equation.
Explanation:
The question is asking for the value of x in given equation where the sum of two angles is 90 degrees, which implies they are complementary angles.
The equation given is: 2 + 3x degrees + 62 degrees = 90 degrees.
We can begin to solve for x by first simplifying the equation. Therefore, we add the constants: 2 + 62 = 64. So the equation now reads 3x + 64 = 90.
Proceed by subtracting 64 from both sides of the equation. This changes the equation to 3x = 90 - 64 , which solves to 3x =26.
Finally, we solve the equation for x by dividing both sides by 3.
The final solution for x is x = 26/3 or approximately 8.67 when rounded to two decimal places.
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