In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° and the 40° angle. Write and solve an equation to determine the measure of angle y.

ANSWER:

As angle x are in straight line with some degrees.

So, ∠x + 40° + 50° = 180°

∠x + 90° = 180°

∠x = 90°.

And ∠x and ∠y are vertically opposite angles, so they must be equal.

Therefore, ∠x = ∠y = 90°.

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.