Two adjacent angles are inside a 90° angle. One angle has a measure of (x+4)° and the other angle has a measure of (3x+2)° . What is x? A 90 degree angle is shown on a white background. A ray is splitting the 90 degree angle into two adjacent angles. The top angle is labeled as x plus 4. The bottom angle is labeled as 3 times x plus 2.

7 answers

To solve this problem, we know that the sum of the two adjacent angles must be equal to 90°, since they are inside a 90° angle.

Therefore, we can write the following equation:

(x+4) + (3x+2) = 90

Simplify the equation by combining like terms:

4x + 6 = 90

Subtract 6 from both sides:

4x = 84

Divide both sides by 4 to solve for x:

x = 21

Therefore, x = 21.
where did u get the 6 from
I apologize for the error in my previous response. Let's correct it:

Given that one angle measures (x+4)° and the other angle measures (3x+2)°, we know that the sum of these two angles inside a 90° angle is equal to 90°.

Therefore, we can write the following equation:

(x+4) + (3x+2) = 90

Simplify the equation by combining like terms:

x + 4 + 3x + 2 = 90
4x + 6 = 90

Subtract 6 from both sides:

4x = 84

Divide both sides by 4 to solve for x:

x = 21

Therefore, x = 21.
dude im asking a question not saying your wrong, explain to me how u got the 6 pls
I apologize for the misunderstanding. Let me clarify how the equation was formed and where the 6 comes from:

The equation we are working with is:

(x+4) + (3x+2) = 90

Expanding the terms inside the parentheses:

x + 4 + 3x + 2 = 90

Combining the like terms on the left side:

4x + 6 = 90

The 6 comes from combining the constant terms in the equation, which are 4 and 2 from the original equation. So, the 4 + 2 = 6.

I hope this explanation clarifies how the 6 was derived in the equation. If you have any more questions or need further clarification, please let me know.
then why is there a 4x after combining the 4 and 2
Apologies for the confusion in my previous responses. Let's correct the explanation:

Given the equation: (x+4) + (3x+2) = 90

Expanding the terms inside the parentheses:

x + 4 + 3x + 2 = 90

Now, combining the like terms:

x + 3x + 4 + 2 = 90
4x + 6 = 90

The 6 comes from combining the constant terms 4 and 2.

Next, subtracting 6 from both sides of the equation:

4x = 84

Finally, dividing both sides by 4:

x = 21

Therefore, x = 21.

I hope this clarifies the correct steps in solving the equation. Thank you for your patience, and please let me know if you have any further questions.
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