Answer: \(6^{\circ}\) and \(84^{\circ}\)
Step-by-step explanation:
Let x be the measure of the angle ( in degrees), the measure of its complementary will be 14x.
We know that the sum of two complementary angles is 90°.
According to the question , we have
\(x+14x=90\\\\\Rightarrow\ 15x=90\\\\\Rightarrow\ x=\dfrac{90}{15}=6\)
Hence, the measure of angle is \(6^{\circ}\) and its complementary is \(14(6)=84^{\circ}\)
