Question

Triangle ABC is congruent to triangle EFG

Answer 1

C 82 degrees

Explanation:

Since triangle, ABC is congruent to EFG which means that the measurement for A is the same measurement for C.

Answer 2

In congruent triangles, corresponding angles are equal. Since triangle ABC is congruent to triangle EFG and
`\(\angle A = 82.0^\circ\)`, it follows that
`\(\angle E\)` is also
`\(82.0^\circ\)`. Thus, the answer is C.

In congruent triangles, corresponding angles are equal. Given that triangle ABC is congruent to triangle EFG and
`\(\angle A = 82.0^\circ\)`,
`\(\angle B = 65.7^\circ\)`, and
`\(\angle C = 32.3^\circ\)`, it follows that in triangle EFG,
`\(\angle E\)` corresponds to
`\(\angle A\)` and is also
`\(82.0^\circ\)`. Therefore, the correct answer is C.

This congruence property allows for the direct determination of
`\(\angle E\)` based on the given angles in triangle ABC, emphasizing the geometric principle that corresponding angles in congruent triangles are equal.