Question

1. if △def∼△hjg, determine each missing measure.

m∠j=

Explanation:

Step1: Use the property of congruent triangles

Since \(\triangle DEF\cong\triangle HJG\), corresponding angles are equal.

Step2: Identify the corresponding angle

\(\angle J\) corresponds to \(\angle D\).

Step3: Calculate the measure of \(\angle J\)

In \(\triangle DEF\), we know that the sum of angles in a triangle is \(180^{\circ}\). But since \(\triangle DEF\cong\triangle HJG\), \(\angle J=\angle D = 34^{\circ}\) (corresponding angles of congruent triangles are equal)

Answer:

\(34^{\circ}\)