Question

The measure of Angle A is 4 times greater than the measure of Angle B.

The two angles are supplementary. Find the measure of Angle A.

Answer 1

a= 144, b=36

Explanation:

x: the measure of angle a

y: the measure of angle b

(Set up a system of two equations)

`a=4b\\a+b=180`

(Use substitution; substitute 4b in for a)

`4b+b=180`

(Simplify)

`5b=180`

(Solve)

`b=36`

(Choose any original equation and plug in 36 in place of b; solve)

`a+b=180\\a+36=180\\a=144`