Answer:
112 degrees.
Step-by-step explanation:
<A and <B are supplementary. This means that the addition of <A and <B will give you 180 degrees.
A = 3x + 16
B = 2x + 4
A + B = 180
Substitute.
(3x + 16) + (2x + 4) = 180
3x + 16 + 2x + 4 = 180
Reaarange.
3x + 2x + 16 + 4 = 180
5x + 20 = 180
Subtract 20 from both sides.
5x + 20 (-20) = 180 (-20)
5x + 0 = 160
5x = 160
Divide both sides by 5.
5x/5 = 160/5
x = 32
To find the measure of <A, we would substitute x into the equation of <A.
<A = 3x + 16
<A = 3(32) + 16
<A = 96 + 16
<A = 112 degrees.
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