Question

find m∠ija if m∠ajk = 61° and m∠ijk = 153°. m∠ija =

Explanation:

Step1: Identify angle - relationship

We know that $\angle IJK=\angle IJA+\angle AJK$.

Step2: Rearrange the formula to solve for $\angle IJA$

$m\angle IJA = m\angle IJK - m\angle AJK$.

Step3: Substitute the given values

Substitute $m\angle IJK = 153^{\circ}$ and $m\angle AJK=61^{\circ}$ into the formula. So, $m\angle IJA=153^{\circ}- 61^{\circ}$.

Step4: Calculate the result

$m\angle IJA = 92^{\circ}$.

Answer:

$92^{\circ}$