Two angles are supplementary. All we know is that the smaller angle is 126 degrees fewer than the larger one. Find the measure of the larger angle.

Larger angle= 153°

Smaller angle= 27°

Step-by-step explanation:

Supplementary angles are two angles that add up to 180°

Let the smaller angle= x

Let the larger angle= y

X+y= 180... equation one

Y-126= x equation two

(Y-126) +y = 180

2y= 180+126

2y= 306

Y= 153°

Y-126= x.

153-126= x

27°=x

entering that problem on the tube might get you an answer

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.