That is a question about angles.
There are two informations in that image that we should to note:
- The sum of the angles <em>x</em> and <em>y </em>is a right angle. A right angle is a 90° angle. That is to say .
- 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, .
With these two informations we can solve that question. The first step is solve the second equation, and we will find the <em>x </em>value. Finally, we change the <em>x </em>value in the first equation and we find the <em>y</em> value. Let's solve the equations:
<h3>Second equation: </h3>
So, the value of <em>x</em> is 63°. Let's replace the <em>x</em> value in the first equation.
<h3>First equation:</h3>
Thus, the value of <em>y</em> is 27°.
Therefore, the correct option is the option says <em>x = 63°</em>, <em>y = 27°</em>.
I hope I've helped. :D
Enjoy your studies. \o/