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② The complement of an angle. is 10 more than 3 times the angle. Find both
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5 votes
② The complement of an
angle. is 10 more
than 3 times the
angle. Find both

User Ianmclaury
by
8.2k points

1 Answer

3 votes
Let x be the angle. The complement is 3x + 10. The sum of two complementary angles is 90. So,
x + 3x + 10 = 90
4x + 10 = 90
4x = 80
x = 20
Plug x into the complement
3(20) + 10 = 70

The angle is 20 degrees and the complement is 70 degrees

User Passiday
by
8.6k points
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