Answer:
x = 63
Step-by-step explanation:
This is a right angle, and we know that there are 90 total degrees in a right angle. Because of this information, we know that the degrees of both angles, added together, should come out to 90. This reasoning looks like this:
[tex]25+(x+2)=90[/tex]
Now, it's much easier to solve for x. I'll start by removing the parentheses and combining like terms.
[tex]25+x+2=90\\25+2+x=90\\27+x=90[/tex]
Now, let's remove 27 both sides to isolate x and figure out what it's equal to.
[tex]27+x=90\\x = 63[/tex]
So, the measure of x is 63 degrees. We can make sure this is correct by using our equation:
Is [tex]25+(63+2)=90[/tex]? Yes, because 63 + 2 is equal to 65, and 65 plus 25 is equal to 90. So our answer is correct.
If you need any more help, let me know! :)
