Question

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

Explanation:

Step1: Identify the triangle type

The triangle is isosceles (two sides equal).

Step2: Use the angle - sum property of a triangle

In \(\triangle IJK\), let \(m\angle I = 26^{\circ}\). Since \(IJ = JK\), \(m\angle K=m\angle I = 26^{\circ}\).
By the angle - sum property of a triangle (\(m\angle I+m\angle J+m\angle K = 180^{\circ}\)), we have \(m\angle IJK=180-(26 + 26)\).

Step3: Calculate \(m\angle IJK\)

\(m\angle IJK=180 - 52=128^{\circ}\)

Answer:

\(128\)