Question

find ( mangle ikj ).
answer attempt 1 out of 2
( mangle ikj=) ( circ ) submit answer

Explanation:

Step1: Recall the property of isosceles triangle

In \(\triangle IJK\), since \(IJ = JK\), \(\triangle IJK\) is an isosceles triangle. The sum of interior angles of a triangle is \(180^{\circ}\). Let \(m\angle IKJ=m\angle JIK = x\).

Step2: Set up the equation

We know that \(m\angle J=121^{\circ}\). Using the angle - sum property of a triangle \(m\angle IKJ + m\angle JIK+m\angle J=180^{\circ}\). Substituting \(m\angle IKJ = m\angle JIK=x\) into the equation, we get \(x + x+121^{\circ}=180^{\circ}\).

Step3: Solve the equation

Combine like terms: \(2x=180^{\circ}- 121^{\circ}\). So \(2x = 59^{\circ}\). Then \(x=\frac{59^{\circ}}{2}=29.5^{\circ}\).

Answer:

\(29.5\)