Answer: [tex]6^{\circ}[/tex] and [tex]84^{\circ}[/tex]
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
[tex]x+14x=90\\\\\Rightarrow\ 15x=90\\\\\Rightarrow\ x=\dfrac{90}{15}=6[/tex]
Hence, the measure of angle is [tex]6^{\circ}[/tex] and its complementary is [tex]14(6)=84^{\circ}[/tex]
