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

Answer:

a= 144, b=36

Step-by-step 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)

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