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Supplementary angles are two angles whose measures have the sum of 180 degrees. Angles X and Y are supplementary, and the measure of angle x is 24 degrees greater than the measure of angle Y. Find the measure of angles X and Y.
asked Dec 29, 2012 in GEOMETRY by andrew Scholar

1 Answer

+2 votes

Given Supplementary angles are X and Y.

The sum of the Supplementary angles are 180 degrees

Given that  angle x is 24 degrees greater than the measure of angle Y

angle x = angle Y + 24 degrees

angle x + angle Y = 180 degrees  --------(1)

Substitute angle x = angle Y + 24 degrees in the above equation (1)

angle Y + 24 degrees + angle Y = 180 degrees

2 angle Y = 180 degrees - 24 degrees

2 angle Y = 156 degrees 

angle Y = 156 degrees / 2

angle Y = 78 degrees

The angle Y = 78 degrees is substitute in equation (1)

angle x + 78 degrees = 180 degrees

angle x   = 180 degrees  - 78 degrees

angle x   = 102 degrees

The angle x  is 102 degrees and angle Y is 78 degrees.

answered Dec 29, 2012 by friend Mentor
nice explanation easy to remember :)

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