If m C=66, find the values of x and y.
A) x = 24, y = 66
B) x = 90, y = 66
C) x = 90, y = 24
D) x = 66, y = 24

Answer:
C) x=90°, y=24°
Step-by-step explanation:
The two sections into which A is split, are the same size as indicated. Sides AB and AC are the same length. Because of those reasons, it can be concluded that B and C are the same size.
The corners of a triangle adds up to 180°. For ΔABC:
[tex]A+B+C=180\\A+2(66)=180\\A=48[/tex]
y° is half of A:
∴y° = 24°
Now add up the corners of triangle ABD:
[tex]y+x+B=180\\24+x+66=180\\x=90[/tex]
∴x° = 90°