Answer: x= 63, y= 27
Step-by-step explanation:
x and angle measure 117 are a linear pair. They sum to 180.
117+x= 180. Subtract 117 from both sides.
x = 63
Looking at the relationship of x and y, the diagram shows that the two together equal 90 degrees. Add the two together and set equal to 90.
63+y= 90. Subtract 63 from both sides.
y = 27
Answer is x= 63° and y = 27°.
Straight Line angle rule:
A straight angle is an angle equal to 180 degrees.
The sum of angles that are formed on a straight line is equal to 180°.
It is called straight because it appears as a straight line.
Here,
x + 117 = 180 (By straight line rule)
x = 180 - 117
x = 63°.
And Given, x + y = 90°.
y = 90° - x
y = 90° - 63°
y = 27°.
Learn more about angles here:
https://brainly.com/question/24092230?referrer=searchResults
#SPJ2