Question

Angle p and q are complementary angles give that angle p is one by six of angle q calculate the value of angle q in the degrees

Answer 1

Angle p is 1/6th of angle q, therefore, q= 6p

Now, it is given that p and q are complimentary angles,

therefore,

p + q = 180

p + 6p = 180

p = 25.71

therefore, q = 6p = 6(25.71) = 154.6


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Answer 2

p + q = 90

p = q / 6

6 p = q

p + 6 p = 90

7 p = 90

p = 90 / 7

p = 12.85

12.85 + q = 90

q = 78.15