Question

what is the value of w?

w =

Explanation:

Step1: Use the property of congruent triangles

Since the two triangles are congruent (marked by equal - side symbols), in triangle \(HKI\), \(\angle K = 70^{\circ}\), and in triangle \(H I J\), we know that the sum of angles in a triangle is \(180^{\circ}\).

Step2: Calculate the value of \(w\)

We know that \(w+70 + 64=180\) (sum of angles in a triangle formula \(A + B + C=180^{\circ}\), where \(A = w\), \(B = 70^{\circ}\), \(C = 64^{\circ}\)).

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Answer:

\(46\)