kkress16
Answered

The measure of an angle is fourteen times the measure of a complementary angle. What is the measure of each angle?



°

and

°

Verified Answer :

JeanaShupp

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  \(14(6)=84^{\circ}\)

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