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Question 140310: I have a worksheet that states if angle 1 and angle2 are complementary angles and m alngle 1=5x-9 and m angle 2=4x, find the measure of the two angles.
I'm not sure if it is right, but i went: (5x-9)+(4x)=90
5x+4x-9=90
9x-9=180
+9 +9
9x=99
9x/9 =99/9
x= 11
the next one i had a question on said: in the figure AB and CD are parallel lines cut by transversal EF. If m angle AEF =47, find m angle DFE.
I did: m anlge AEF = m angle DFE = 180
47 + m angle DFE =180
-47 -47
m angle DFE = 133
Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website! I) If two angles (5x-9) and (4x) are complementary, their sum is 90 degrees.
(5x-9)+4x = 90
9x-9 = 90
9x = 99 Divide both sides by 9
x = 11
Angle 1:
5x-9 = 5(11)-9 = 55-9 = 46
Angle 1 is 46 degrees.
Angle 2:
4x = 4(11) = 44
Angle 2 = 44 degrees.
Check:
46+44 = 90
II) The best I can figure out without the actual diagram is that the two angles in your problem AEF and DFE, are alternate interior angles, and alternate interior angles are congruent (equal).
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