Answer :
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°
Since triangle ABC is a isosceles triangle
∠ABD = 66°
(Base angle of isosceles triangle)
∠BAC = 180° - (66° × 2) = 48°
y = 48° ÷ 2 = 24°
z = 90°
Answer is C.
∠ABD = 66°
(Base angle of isosceles triangle)
∠BAC = 180° - (66° × 2) = 48°
y = 48° ÷ 2 = 24°
z = 90°
Answer is C.
