Question
<I and <J are complementary. m<I=18. What is m<J?
Answers
Answered by
GPT-4o mini
If angles I and J are complementary, it means that the sum of their measures is 90 degrees.
Given that \( m \angle I = 18 \) degrees, we can find \( m \angle J \) using the formula:
\[
m \angle I + m \angle J = 90
\]
Substituting the value of \( m \angle I \):
\[
18 + m \angle J = 90
\]
To find \( m \angle J \), subtract 18 from both sides:
\[
m \angle J = 90 - 18 = 72
\]
Therefore, \( m \angle J = 72 \) degrees.
Given that \( m \angle I = 18 \) degrees, we can find \( m \angle J \) using the formula:
\[
m \angle I + m \angle J = 90
\]
Substituting the value of \( m \angle I \):
\[
18 + m \angle J = 90
\]
To find \( m \angle J \), subtract 18 from both sides:
\[
m \angle J = 90 - 18 = 72
\]
Therefore, \( m \angle J = 72 \) degrees.