in an experment a laser contacts a flat decetor so that one angle between the laser beam and the detector is 57 less than two times the other angle . what is the measurement of the larger angle

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- April 16th 2006, 11:45 PMjim1174word problem
in an experment a laser contacts a flat decetor so that one angle between the laser beam and the detector is 57 less than two times the other angle . what is the measurement of the larger angle

- April 17th 2006, 01:23 AMCaptainBlackQuote:

Originally Posted by**jim1174**

add up to 180 degrees.

Let the angles be and . Then we have by assumption:

.

Now translation the question into an equation (assume is the first angle):

.

Now , which can be substituted into the above

equation to give:

,

So:

,

hence , and .

So the large angle is

RonL