SOLUTION: Angle A is complementary to Angle B. Angle C is complementary to Angle B. A= (3x+y)degrees B= (x+4y+2)degrees C= (3y-3)degrees Find the measure of angle B.

Question 788938: Angle A is complementary to Angle B.
Angle C is complementary to Angle B.
A= (3x+y)degrees
B= (x+4y+2)degrees
C= (3y-3)degrees
Find the measure of angle B.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Angle A is complementary to Angle B.
Angle C is complementary to Angle B.
----------
Equations:
A + B = 90
C + B = 90
-------------
A= (3x+y)degrees
B= (x+4y+2)degrees
C= (3y-3)degrees
-------------
3x+y +x+4y+2 = 90
3y-3 + x+4y+2 = 90
----------------------------
4x + 5y = 88
x + 7y = 91
-------
4x + 5y = 88
4x + 28y= 364
-----------
23y = 276
y = 12
----
x + 7y = 91
x + 84 = 91
x = 7
-------
Find the measure of angle B.
Ans: B = x+4y+2 = 7 + 4*12+2 = 9 + 44 = 53
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Cheers,
Stan
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