The difference between two numbers is 10 and their sum is four times the smaller number find the two numbers.

A = larger number

B = smaller number

A -B = 10

A + B = 4B

A=10+B

10+B+B = 4B

10 +2B = 4B

10=2B

B = 10/2 = 5

A = 10+5 =15

15-5 =10

15+5 = 20, 4*5 = 20

 the numbers are 5 & 15

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

read more on -