Question

use angle addition to answer the following. 5. find m∠ija, if m∠ajk = 61° and m∠ijk = 153°.

Explanation:

Step1: Identify angle - addition relationship

We know that \(m\angle IJK=m\angle IJA + m\angle AJK\).

Step2: Rearrange the formula to solve for \(m\angle IJA\)

\(m\angle IJA=m\angle IJK - m\angle AJK\).

Step3: Substitute the given values

Substitute \(m\angle AJK = 61^{\circ}\) and \(m\angle IJK = 153^{\circ}\) into the formula: \(m\angle IJA=153^{\circ}-61^{\circ}\).

Step4: Calculate the result

\(m\angle IJA = 92^{\circ}\).

Answer:

\(92^{\circ}\)