SOLUTION: how do you solve m<A = 5x+8 m<B = x+4

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Question 667502: how do you solve m m
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

m < A+=+5x%2B8
m< B+=+x%2B4
since there is no information whether angles are congruent,complementary, or supplementary, I will do each option
if given angles are congruent, then
A+=+B;
consequently +5x%2B8=x%2B4......solve for x
+5x-x=4-8
+4x=-4
+x=-1
now find A and B
m < A+=+5%28-1%29%2B8
m < A+=+-5%2B8
m < highlight%28A+=+3%29

m< B+=+-1%2B4
m< highlight%28B+=+3%29

if your angles are complementary (complementary angles add up to 90 degrees), then:

A%2BB=90
%285x%2B8%29%2B%28x%2B4%29=90
5x%2B8%2Bx%2B4=90
6x%2B12=90
6x=90-12
6x=78
x=78%2F6
x=13

now find A and B
m < A+=+5%2813%29%2B8
m < A+=+65%2B8
m < highlight%28A+=+73%29

m< B+=+13%2B4
m< highlight%28B+=+17%29



if your angles are supplementary (supplementary angles add up to 180 degrees), then:

A%2BB=180
%285x%2B8%29%2B%28x%2B4%29=180
5x%2B8%2Bx%2B4=180
6x%2B12=180
6x=180-12
6x=168
x=168%2F6
x=28

now find A and B
m < A+=+5%2828%29%2B8
m < A+=+140%2B8
m < highlight%28A+=+148%29

m< B+=+28%2B4
m< highlight%28B+=+32%29