Find m∠Ym∠Y if m∠Ym∠Y is six more than three times its complement.
QUESTION POSTED AT 01/06/2020 - 04:35 PM
Answered by admin AT 01/06/2020 - 04:35 PM
Let x = m∠Y.
Complementary angles add up to 90°.
Therefore the complement of m∠Y = 90 - m∠Y, or 90 - x.
Because m∠Y is 6 more than 3 times (90 - m∠Y), therefore
x = 3(90 - x) + 6
x = 270 - 3x + 6
4x = 276
x = 276/4 = 69
Answer: m∠Y = 69°
Complementary angles add up to 90°.
Therefore the complement of m∠Y = 90 - m∠Y, or 90 - x.
Because m∠Y is 6 more than 3 times (90 - m∠Y), therefore
x = 3(90 - x) + 6
x = 270 - 3x + 6
4x = 276
x = 276/4 = 69
Answer: m∠Y = 69°
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