SOLUTION: ∠A and ∠B are supplementary angles. If m∠A = 2x + 16 and m∠B = 4x+14, what is the value of x?

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Question 1077380: ∠A and ∠B are supplementary angles. If m∠A = 2x + 16 and m∠B = 4x+14, what is the value of x?
Answer by ikleyn(52792)   (Show Source): You can put this solution on YOUR website!
.
m(A) + m(B) = 180.    (since A and B are supplementary angles)


(2x+16) + (4x+14) = 180  --->


6x + 30 = 180  --->  6x = 180-30  --->  6x = 150  --->  x =  = 25 degrees.


---> m(A) = 2*25 + 16;  m(B) = 4*25+14.

Make this calculations.


See the lesson
    - Solved problems on supplementary and complementary angles
in this site.


Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Finding angles of triangles, parallelograms, rectangles and polygons".



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