Question

what is m∠ijk?
m∠ijk = □°

Explanation:

Step1: Use the property of angle - bisector and right - angle

The sum of angles around a point is \(360^{\circ}\). We know that \(\angle JIH = 90^{\circ}\) and \(\angle JKH=90^{\circ}\), and the angle \(\angle IJK\) and the \(70^{\circ}\) angle are related.
The formula for the sum of angles around point \(J\) is \(m\angle IJK + m\angle JIH+m\angle JKH + 70^{\circ}=360^{\circ}\)

Step2: Substitute the known values

Since \(m\angle JIH = 90^{\circ}\) and \(m\angle JKH = 90^{\circ}\), we substitute these values into the equation:
\(m\angle IJK+90^{\circ}+90^{\circ}+70^{\circ}=360^{\circ}\)
\(m\angle IJK+(90 + 90+70)^{\circ}=360^{\circ}\)
\(m\angle IJK + 250^{\circ}=360^{\circ}\)

Step3: Solve for \(m\angle IJK\)

Subtract \(250^{\circ}\) from both sides of the equation:
\(m\angle IJK=360^{\circ}- 250^{\circ}\)

Answer:

\(110\)