Final answer:
To find the value of x, assuming angles SRQ and QRP are supplementary (adding up to 180 degrees), we set up an equation 6x + 2 + 2x + 10 = 180 and solve for x, yielding x = 21.
Step-by-step explanation:
The student is asking about finding the value of x when given two angle measures that are presumably related. Without additional context, such as whether these angles form a linear pair or are part of a larger geometric figure, we cannot provide a definitively correct answer. However, if these angles are supplementary, which means they add up to 180 degrees because they form a straight line, we can set up an equation and solve for x.
If m∠SRQ = 6x + 2 and m∠QRP = 2x + 10 are supplementary, we have:
6x + 2 + 2x + 10 = 180
Combining like terms gives us:
8x + 12 = 180
Subtracting 12 from both sides gives us:
8x = 168
Dividing both sides by 8 gives us:
x = 21
Therefore, the value of x is 21, if the angles are supplementary.