19. In each of the following ligures, find the values of x and y

Answer:
[tex]\boxed{x = 65, y=50}[/tex]
Step-by-step explanation:
→ We know that angles on a straight line add up to 180° so we can use that to work out angle x
x + 115° = 180°
⇒ Minus 115° from both sides to isolate x
x = 65°
→ We can see that there are 2 angles labelled x so we can use that to find the value of y
65° × 2 = 130°
→ We utilise the angle fact that angles in a triangle add up to 180°
130° + y = 180°
⇒ Minus 130° from both sides to isolate y
y = 50°