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Solving 2 unknowns: A piece of steel is welded to a horizontal truss forming two angles with the truss.?
A piece of steel is welded to a horizontal truss forming two angles with the truss. The larger of the 2 angles is 2 1/2º more than twice the smaller angle. Find the angle measurements.
What I know is that they both = 180º. I'm confused by "the larger is 2 1/2º more than twice"...
How can I stop the fear of these type of word problems?
THX!
1 Answer
- ?Lv 71 decade agoFavorite Answer
Call the smaller angle S and the larger angle L.
L = 2S + 2.5.
L + S = 180. Substitute L = 2S + 2.5 in this equation for L and solve for S.
(2S + 2.5) + S = 180.
3S + 2.5 = 180. Subtract 2.5 from both sides of the equation.
3S = 177.5. Divide both sides by 3.
S = 59.1666 repeating Answer for the smaller angle.
L = 120.8333 repeating. Answer for larger angle.
Source(s): Self