Two angles are supplementary. The larger angle is 15 more than 10 times the smaller angle. Find the measure of each angle.

Can someone explain this and help me get the answer

The angles are 165 and 15

Step-by-step explanation:

Supplementary angles whose sum is 180°

Let A and B be the two supplementary angles.

Let A be the larger angle and B the smaller angle.

From the question, we were told that the large angle (A) is 15 more than 10 times the smaller angle ie

A = 15 + 10B

We can solve for the value of A and B by doing the following:

A + B = 180

But A = 15 + 10B

15 + 10B + B = 180

Collect like terms

10B + B = 180 — 15

11B = 165

Divide both side by the coefficient of B i.e 11

B = 165/11

B = 15

A = 15 + 10B

A = 15 + 10(15)

A = 15 + 150

A = 165

The angles are 165 and 15

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

150.6

all i did was i multiplied 5.02 by 30