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SpyIntel [72]
3 years ago
6

An angle measures 15 degrees more than its complement. Find the measures of the two angles

Mathematics
1 answer:
ale4655 [162]3 years ago
3 0

x = one angle

y = other angle

y = 15+x

complements add to 90 degrees

x+y = 90

substitute for y (15+x)

x + 15+x = 90

combine like terms

2x+ 15 = 90

subtract 15 from each side

2x = 75

divide  each side by 2

x = 75/2

x = 37.5

y = x+15

y = 37.5 + 15

y =52.5

The two angles are 37.5 and 52.5


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