The measures of two complementary angles are 6y+3 and 4y−13 . Find the measures of the angles.
2 answers:
Y = 10 degrees
work:
6y + 3 + 4y - 13 = 90
6y + 4y = 90 + 13 - 3
10y = 100
y = 10
63° and 27°
2 complementary angles sum to 90°, hence
6y + 3 + 4y - 13 = 90
10y - 10 = 90 ( add 10 to both sides )
10y = 100 ( divide both sides by 10 )
y = 10
The angles are
6y + 3 = (6 × 10 ) + 3 = 60 + 3 = 63°
4y - 13 = (4 × 10 ) - 13 = 40 - 13= 27°
note that 63° + 27° = 90°
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