Question

ZJ and ZK are complementary angles.The measure of ZJ is 18 less than themeasure of ZK. Find the measure of eachangle.Answer please

Answer 1

ZK = 54°

ZJ = 36°

Explanation:

We can raise the following equations because we know that the angles are complementary:

`\begin{gathered} ZJ+ZK=90\text{\degree} \\ ZJ=ZK-18\text{\degree} \end{gathered}`

Replacing:

`\begin{gathered} ZK-18+ZK=90 \\ 2ZK=90+18 \\ ZK=(108)/(2) \\ ZK=54\text{\degree} \\ \text{ therefore, ZJ is:} \\ ZJ=54-18 \\ ZJ=36\text{\degree} \end{gathered}`