That is a question about angles.
There are two informations in that image that we should to note:
- The sum of the angles x and y is a right angle. A right angle is a 90° angle. That is to say [tex]x + y = 90[/tex].
- The sum of the angle x and the 117° angle is a straight angle. A straight angle is an angle that measure 180°. In other words, [tex]x + 117 = 180[/tex].
With these two informations we can solve that question. The first step is solve the second equation, and we will find the x value. Finally, we change the x value in the first equation and we find the y value. Let's solve the equations:
Second equation:
[tex]x + 117 = 180\\x = 180 - 117\\x = 63[/tex]
So, the value of x is 63°. Let's replace the x value in the first equation.
First equation:
[tex]x+y = 90\\63 + y = 90\\y = 90 - 63\\y = 27[/tex]
Thus, the value of y is 27°.
Therefore, the correct option is the option says x = 63°, y = 27°.
I hope I've helped. :D
Enjoy your studies. \o/
