SOLUTION: Angle A and angle B are a linear pair. Measure angle A is 5 more than four times the measure of angle B. Find the measure of each angle.

Question 702578: Angle A and angle B are a linear pair. Measure angle A is 5 more than four times the measure of angle B. Find the measure of each angle.
Found 2 solutions by nerdybill, stanbon:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Angle A and angle B are a linear pair. Measure angle A is 5 more than four times the measure of angle B. Find the measure of each angle.
.
If two angles are a "linear pair" the sum of the two angles MUST be 180.
.
Let x = measure of angle B
then
x+5 = measure of angle A
.
x + x+5 = 180
2x+5 = 180
2x = 175
x = 87.5 degrees (angle B)
.
Angle A:
x+5 = 87.5+5 = 92.5 degrees
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Angle A and angle B are a linear pair. Measure angle A is 5 more than four times the measure of angle B. Find the measure of each angle.
-----
Equations:
A + B = 180
A = 4B+5
----
Substitute for "A" and solve for "B":
4B+5+B = 180
5B = 175
B = 35 degrees
----
Solve for "A:
A = 4B+5
A = 4*35+5
A = 145 degrees
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Cheers,
Stan H.
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